Finding the Third Proportional to 456,531 and 709,665

Step by Step Solution

1. Step 1: Write the proportion equation
   456,531 : 709,665 = 709,665 : x
2. Step 2: Convert to fraction form
   456,531/709,665 = 709,665/x
3. Step 3: Cross multiply
   456,531x = 709,665 × 709,665
4. Step 4: Simplify right side
   456,531x = 503,624,412,225
5. Step 5: Solve for x
   x = 503,624,412,225/456,531
6. Step 6: Final answer
   x = 1,103,154.91