Finding the Third Proportional to 181,399.50 and 389,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,399.50 : 389,542.50 = 389,542.50 : x
2. Step 2: Convert to fraction form
   181,399.50/389,542.50 = 389,542.50/x
3. Step 3: Cross multiply
   181,399.50x = 389,542.50 × 389,542.50
4. Step 4: Simplify right side
   181,399.50x = 151,743,359,306.25
5. Step 5: Solve for x
   x = 151,743,359,306.25/181,399.50
6. Step 6: Final answer
   x = 836,514.76