Finding the Third Proportional to 501,562 and 777,494

Step by Step Solution

1. Step 1: Write the proportion equation
   501,562 : 777,494 = 777,494 : x
2. Step 2: Convert to fraction form
   501,562/777,494 = 777,494/x
3. Step 3: Cross multiply
   501,562x = 777,494 × 777,494
4. Step 4: Simplify right side
   501,562x = 604,496,920,036
5. Step 5: Solve for x
   x = 604,496,920,036/501,562
6. Step 6: Final answer
   x = 1,205,228.71