Finding the Third Proportional to 252,801 and 394,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,801 : 394,753.50 = 394,753.50 : x
2. Step 2: Convert to fraction form
   252,801/394,753.50 = 394,753.50/x
3. Step 3: Cross multiply
   252,801x = 394,753.50 × 394,753.50
4. Step 4: Simplify right side
   252,801x = 155,830,325,762.25
5. Step 5: Solve for x
   x = 155,830,325,762.25/252,801
6. Step 6: Final answer
   x = 616,414.99