Finding the Third Proportional to 431,989.50 and 581,542

Step by Step Solution

1. Step 1: Write the proportion equation
   431,989.50 : 581,542 = 581,542 : x
2. Step 2: Convert to fraction form
   431,989.50/581,542 = 581,542/x
3. Step 3: Cross multiply
   431,989.50x = 581,542 × 581,542
4. Step 4: Simplify right side
   431,989.50x = 338,191,097,764
5. Step 5: Solve for x
   x = 338,191,097,764/431,989.50
6. Step 6: Final answer
   x = 782,868.79