Definition of "Proposition" :

noun: a task to be dealt with

"Securing adequate funding is a time-consuming proposition."

noun: (logic) a statement that affirms or denies something and is either true or false

noun: the act of making a proposal

noun: an offer for a private bargain (especially a request for sexual favors)

noun: a proposal offered for acceptance or rejection

verb: suggest sex to

"She was propositioned by a stranger at the party."