Final answer:
The chronological order focuses on key Spanish exploratory and colonization events in North America, starting with Columbus's arrival in 1492 and ending with the colonization of California in the late 1700s.
Step-by-step explanation:
The chronological order of events during the Spanish exploration of North America is as follows:
Initially, Spanish colonization focused on the Caribbean. The mainland exploration followed with the efforts of explorers like Ponce de Leon and Hernando de Soto. St. Augustine's foundation was pivotal as it marked the beginning of permanent European settlements.
Coronado's and De Soto's expeditions helped expand Spanish territory and influence. Spanish colonization continued into California during the late 18th century, further demonstrating Spain's lasting impact on North American history.