Finding the Third Proportional to 119,748.38 and 166,500.56

Step by Step Solution

1. Step 1: Write the proportion equation
   119,748.38 : 166,500.56 = 166,500.56 : x
2. Step 2: Convert to fraction form
   119,748.38/166,500.56 = 166,500.56/x
3. Step 3: Cross multiply
   119,748.38x = 166,500.56 × 166,500.56
4. Step 4: Simplify right side
   119,748.38x = 27,722,437,312.82
5. Step 5: Solve for x
   x = 27,722,437,312.82/119,748.38
6. Step 6: Final answer
   x = 231,505.75