"proposition him" is not correct and not usable in written English.
If you want to make a suggestion or offer to someone, you would use the phrase "propose to him". For example, "I'm going to propose to him that we go to the park this weekend."
Mr. Sher's production is at its weakest in one of the opera's crucial scenes, in which Jake arrives in Brian's bedroom to proposition him.
When he became a success, he grew so disturbed by women trying to proposition him after shows that, according to a biographer, he once asked his doctor to castrate him.
He's in town with a sick daughter – the perfect opportunity to proposition him: $10m loaded on his jet for bribes, the promise of free elections, and the full support of the United States.
A bleary-eyed gent - a new arrival from America, by the look of his hat and trousers - appraises her from head to hurrying feet; his innocence will wear off by this evening, when a flock of harlots will flutter into the Haymarket and proposition him every dozen steps.
I basically propositioned him.
The officer agreed to drive him back but propositioned him.
In 1964, Blitzstein was killed by a sailor who said that the older man propositioned him.
When Marlon Brando propositioned him and Ms. Pallenberg, Mr. Richards remembers replying with this: "Later, pal".
Legend has it that Camilla cheekily first propositioned him on the basis of that ancestral connection.
"If you hire a capable man and your competitors know about it, they'll start propositioning him.
The notorious story of how Camilla first approached Charles, reminded him that their ancestors had been lovers and propositioned him is, Ms. Brown says, ridiculous.
