Finding the Third Proportional to 166,527 and 253,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,527 : 253,962.50 = 253,962.50 : x
2. Step 2: Convert to fraction form
   166,527/253,962.50 = 253,962.50/x
3. Step 3: Cross multiply
   166,527x = 253,962.50 × 253,962.50
4. Step 4: Simplify right side
   166,527x = 64,496,951,406.25
5. Step 5: Solve for x
   x = 64,496,951,406.25/166,527
6. Step 6: Final answer
   x = 387,306.27