Finding the Third Proportional to 296,497 and 638,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,497 : 638,022.50 = 638,022.50 : x
2. Step 2: Convert to fraction form
   296,497/638,022.50 = 638,022.50/x
3. Step 3: Cross multiply
   296,497x = 638,022.50 × 638,022.50
4. Step 4: Simplify right side
   296,497x = 407,072,710,506.25
5. Step 5: Solve for x
   x = 407,072,710,506.25/296,497
6. Step 6: Final answer
   x = 1,372,940.40