Finding the Third Proportional to 516,114 and 797,499

Step by Step Solution

1. Step 1: Write the proportion equation
   516,114 : 797,499 = 797,499 : x
2. Step 2: Convert to fraction form
   516,114/797,499 = 797,499/x
3. Step 3: Cross multiply
   516,114x = 797,499 × 797,499
4. Step 4: Simplify right side
   516,114x = 636,004,655,001
5. Step 5: Solve for x
   x = 636,004,655,001/516,114
6. Step 6: Final answer
   x = 1,232,294.91