proposition

a task to be dealt with

securing adequate funding is a time-consuming proposition

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

the act of making a proposal

they listened to her proposal

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

a proposal offered for acceptance or rejection

it was a suggestion we couldn't refuse

suggest sex to

She was propositioned by a stranger at the party