Name the three major native mexican civil civilization in chronological order

Well, there were more than three major Mexican Civilizations:

The oldest ones were the Olmecs, which also are thought to have influenced all the later civilizations.

Then a big civilization was the Teotihuacans. Temporary to them were the Mayas, but in a different location.

The Toltec civilization came later.

Finally, until the arrival of Europeans, the Aztec civilization was dominating Mesoamerica.

Because the discoveries were some of the oldest human remains.