Finding the Third Proportional to 182,233.50 and 394,419

Step by Step Solution

1. Step 1: Write the proportion equation
   182,233.50 : 394,419 = 394,419 : x
2. Step 2: Convert to fraction form
   182,233.50/394,419 = 394,419/x
3. Step 3: Cross multiply
   182,233.50x = 394,419 × 394,419
4. Step 4: Simplify right side
   182,233.50x = 155,566,347,561
5. Step 5: Solve for x
   x = 155,566,347,561/182,233.50
6. Step 6: Final answer
   x = 853,664.93