Finding the Third Proportional to 460,542 and 710,499

Step by Step Solution

1. Step 1: Write the proportion equation
   460,542 : 710,499 = 710,499 : x
2. Step 2: Convert to fraction form
   460,542/710,499 = 710,499/x
3. Step 3: Cross multiply
   460,542x = 710,499 × 710,499
4. Step 4: Simplify right side
   460,542x = 504,808,829,001
5. Step 5: Solve for x
   x = 504,808,829,001/460,542
6. Step 6: Final answer
   x = 1,096,118.98