When the position in Ontario became available, an ad was published in the Globe and Mail. A committee made up of an MLA from each political party and chaired by the Speaker of the Legislative Assembly, not the Premier, reviewed the applications and called candidates for an interview. I was selected unanimously by the committee made up of a Liberal, a Conservative and a New Democrat. Each member of the committee had one vote. The Speaker of the Legislative Assembly did not vote; he chaired the committee and organized the meetings. That’s how I was selected.
Once I was selected by the committee, my name was submitted to the Legislative Assembly. There was a vote, and the result was unanimous because three MLAs—one from each party—had participated in the selection process. That is one way of doing it. The way you suggested is also a good way.