Finding the Third Proportional to 119,750 and 166,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,750 : 166,502.50 = 166,502.50 : x
2. Step 2: Convert to fraction form
   119,750/166,502.50 = 166,502.50/x
3. Step 3: Cross multiply
   119,750x = 166,502.50 × 166,502.50
4. Step 4: Simplify right side
   119,750x = 27,723,082,506.25
5. Step 5: Solve for x
   x = 27,723,082,506.25/119,750
6. Step 6: Final answer
   x = 231,508.00