The phrase "established his position" is correct and can be used in written English.
It is typically used to describe someone who has successfully solidified their role or standing within a particular context or organization. Example: "John worked tirelessly for years to build his reputation and establish his position as a respected leader in the industry."
From these he established his position as latitude 89 degrees 57 minutes.
He established his position with a number of speeches, specialising in economic affairs, becoming the spokesman of the assembly as president of the commission for finance.
Mr Wallace has established his position in Scottish politics and, in the aftermath of Donald Dewar's death in October 2000, he is likely to become even more powerful.
Looming over the Fox News operations is a battle for succession to Mr. Ailes, who over 20 years established his position as one of the most powerful in television.
His first two operas, Der Protagonist (one act, libretto by Georg Kaiser, 1926) and Royal Palace (1927), established his position, with Ernst Krenek and Paul Hindemith, as one of Germany's most promising young opera composers.
His first major work, Der Römerbrief (1919; The Epistle to the Romans), established his position as a notable theologian with a new and arresting message about the sheer Godness of God and the unlimited range of his grace.
Especially on faster surfaces, the server may also follow his delivery to the net and establish his position.
As he struggles to establish his position, Laing's good manners and sanity disintegrate along with the building.
But France did not understand how deeply the economic crisis was changing things, and ignored restrictions on the press, Mr. Lanxade said, adding, "We didn't take account of Tunisian public opinion and thought Ben Ali would re-establish his position".
This is the album that puts all of that right: a largely acoustic, back-to-the-roots set that is unquestionably his finest album since Soro, and that should re-establish his position as one of the great singers of the world.
As Mr. Weiner, a scandal-tarred former United States representative from Queens, considers jumping into the race, Mr. de Blasio has gone sharply negative, as if trying to establish his position as Ms. Quinn's chief liberal challenger before a better known, if somewhat notorious, hopeful usurps that role.
