To provide an accurate answer, I would need to know what territory is marked with the X on the map you are referring to. However, I can provide some general information on how various territories were acquired by the United States:
- By purchasing the land from Spain - This could refer to the purchase of Florida.
- By winning a war against Great Britain - This may relate to territories gained following the War of 1812.
- By purchasing the land from France - This would pertain to the Louisiana Purchase.
- By winning a war against Mexico - This is relevant to territories acquired after the Mexican-American War.
If you can specify the territory marked with the X, I can provide a more precise response based on that information.