Should I be OK with this?

I am in the stage of figuring out my sexuality. Well I say figuring out because I haven't had sex with a woman but I know that I have attraction to them so at the moment I identify as bisexual.

For the past years I have been with a man, we broke up some months ago. One of the reasons for it was that our sex drives were extremely different; mine quite low and his excessively high. This in the course of years led to a situation where I felt my sexuality was somehow faulty (for not wanting to have sex every day or preferably even more) and I developed an attitude towards sex that it is something I have to want (because I wanted him to be happy). In addition to this I never got much out of it, it was sometimes nice but more often than not I just wanted it to be done.

This probably sounds horrible when I write it like this but apart from that our relationship was very good, and he is one of the most important people I have ever had in my life. It was largely due to my own account that the situation got as bad as it did because I never really voiced these feelings to him; I never said sex is such a chore for me.

At the same time I started to realize that the knowledge I had always had in the back of my head, that I could be into girls as well, started to become stronger to the point that I fell for a female friend of mine. This wasn't a reason why we broke up though.

However we have slowly got back together and I have been more able to voice myself, how I feel about (straight) sex and how reluctant I am ever again to put myself back into a position where I sometimes cried in the bathroom after sex. He gets this but loves me enough to want to find a way for us to be together, however as he has the right to his sexuality as I have to mine, one possibility has been us sharing a third partner (ie a girl). Not as a threesome scenario but so as to try to find someone we would both like and could express our sexuality with - me with a woman and he I guess just more sex than what I want to have.

And in theory I think it could be possible, but practice is another matter. I don't know how to feel about sharing him with someone else, and I don't know if I could share myself with more than one person at the time. Not to mention I am still to have sex with a woman in the first place, so I don't even know how I will feel about it. Maybe I am lesbian? Or maybe I just have super low sex drive?

There is just so many questions. But the biggest one is should I be OK with this kind of arrangement? If I can't then there is no point for me and him to try to be together, we are too far off on the chart from each other.