Finding the Third Proportional to 478,029 and 733,755.75

Step by Step Solution

1. Step 1: Write the proportion equation
   478,029 : 733,755.75 = 733,755.75 : x
2. Step 2: Convert to fraction form
   478,029/733,755.75 = 733,755.75/x
3. Step 3: Cross multiply
   478,029x = 733,755.75 × 733,755.75
4. Step 4: Simplify right side
   478,029x = 538,397,500,658.06
5. Step 5: Solve for x
   x = 538,397,500,658.06/478,029
6. Step 6: Final answer
   x = 1,126,286.27