'Established' in the Bible

Solomon sat on the throne of his father David, and his kingship was firmly established.

And now, as the Lord lives, the One who established me, seated me on the throne of my father David, and made me a dynasty as He promised—I swear Adonijah will be put to death today!”

but King Solomon will be blessed, and David’s throne will remain established before the Lord forever.”

Then the king commanded Benaiah son of Jehoiada, and he went out and struck Shimei down, and he died. So the kingdom was established in Solomon’s hand.