Finding the Third Proportional to 498,625 and 726,105

Step by Step Solution

1. Step 1: Write the proportion equation
   498,625 : 726,105 = 726,105 : x
2. Step 2: Convert to fraction form
   498,625/726,105 = 726,105/x
3. Step 3: Cross multiply
   498,625x = 726,105 × 726,105
4. Step 4: Simplify right side
   498,625x = 527,228,471,025
5. Step 5: Solve for x
   x = 527,228,471,025/498,625
6. Step 6: Final answer
   x = 1,057,364.69