Finding the Third Proportional to 402,477 and 544,665

Step by Step Solution

1. Step 1: Write the proportion equation
   402,477 : 544,665 = 544,665 : x
2. Step 2: Convert to fraction form
   402,477/544,665 = 544,665/x
3. Step 3: Cross multiply
   402,477x = 544,665 × 544,665
4. Step 4: Simplify right side
   402,477x = 296,659,962,225
5. Step 5: Solve for x
   x = 296,659,962,225/402,477
6. Step 6: Final answer
   x = 737,085.50