Finding the Third Proportional to 461,499 and 698,616

Step by Step Solution

1. Step 1: Write the proportion equation
   461,499 : 698,616 = 698,616 : x
2. Step 2: Convert to fraction form
   461,499/698,616 = 698,616/x
3. Step 3: Cross multiply
   461,499x = 698,616 × 698,616
4. Step 4: Simplify right side
   461,499x = 488,064,315,456
5. Step 5: Solve for x
   x = 488,064,315,456/461,499
6. Step 6: Final answer
   x = 1,057,563.11