Finding the Third Proportional to 166,524 and 253,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,524 : 253,957.50 = 253,957.50 : x
2. Step 2: Convert to fraction form
   166,524/253,957.50 = 253,957.50/x
3. Step 3: Cross multiply
   166,524x = 253,957.50 × 253,957.50
4. Step 4: Simplify right side
   166,524x = 64,494,411,806.25
5. Step 5: Solve for x
   x = 64,494,411,806.25/166,524
6. Step 6: Final answer
   x = 387,298.00