According to the WordReference dictionary, the word inauguration means " to make a formal beginning of or to put (someone) into office with formal ceremonies".
According to the Etymology dictionary, the word inauguration comes from Late Latin inaugurare and also from Latin inauguratus, past participle of inaugurare. See in- augurare "to act as an augur, predict".
Other words referring to -augur are: augured,augury.
You can see the use of the word inauguration in this article.
José Enrique González. 3º A