welbeck
seems like you have unwittingly been subsidising his other household.
This^
OP, please , please visit a solicitor and get proof of the 100K you gave your daughter so if/when she divorces him, he cannot claim half of everything. You gave it to them both, but he has not any claim now because he is cheating.
Another thing I would do is get an investigator to get photos of him with the other woman to back this up, so you have proof if you ever need it. I would not rush to tell your daughter, but if the muck hits the fan, you need to protect her by making sure he doesn't get 50% of everything. The dirty, cheating B@astard! I would actually get your ducks in a row before considering whether to tell her.
I'm so sorry but it seems like he's using you both