Finding the Third Proportional to 501,566 and 777,499

Step by Step Solution

1. Step 1: Write the proportion equation
   501,566 : 777,499 = 777,499 : x
2. Step 2: Convert to fraction form
   501,566/777,499 = 777,499/x
3. Step 3: Cross multiply
   501,566x = 777,499 × 777,499
4. Step 4: Simplify right side
   501,566x = 604,504,695,001
5. Step 5: Solve for x
   x = 604,504,695,001/501,566
6. Step 6: Final answer
   x = 1,205,234.60