To state, as an idea, for consideration

• suggest
• submit
• set forth
• put forward
• propound
• pose
• offer
• advance

To have in mind as a goal or purpose

• mind
• target
• purpose
• project
• plan
• mean
• intend
• design
• contemplate
• aim

To make a suggestion

• lay (something) on the line
• make a motion
• hold out
• urge (upon)
• press
• volunteer
• affirm
• adduce
• submit
• lay before
• counsel
• advise
• recommend
• tender
• assert
• contend
• put to
• introduce
• propound
• advance
• proffer
• state
• come-up-with
• set forth
• move
• put forward
• offer
• suggest

To mean

• aim
• intend
• purpose

To offer marriage

• fire the question. See syn. study at intend.intend
• pop-the-question
• press one's suit
• ask for the hand of
• make a proposal
• ask in marriage
• offer marriage