1. Mutual friends 1a. If Friend X talks to Person Y a lot, and you a friends with Friend X and you talk to Friend X lot via liking and commenting on FB, there is a higher chance of you knowing Person Y. Compared to if you are just friends with Friend X and don't really communicate with them.
2. Education - did you go to the same school or are you friends with people that went to the same schools.
3. Community - do you live in the same community, city, state.
4. Work - have you worked together or for the same company. Are you friends with people that work with him or her.
5. Are you in a photo, or same album, posted to FB with this individual. For example, if Friend X creates an album and uploads 100 photos to that album. If you are in some of the photos with Friend X and Person Y is in some of the photos with Friend X there may be a good chance you know each other.
6. Did you choose to share your contacts with FB such as using Gmail or Yahoo email?
I'm surprised facebook hasn't tried to create their own spyware-infused browser and computer platform yet. Millions of facebook users think "facebook" is the entire Internet anyway. Not far removed from just giving over your entire life to them.