Finding the Third Proportional to 115.38 and 171.06

Step by Step Solution

1. Step 1: Write the proportion equation
   115.38 : 171.06 = 171.06 : x
2. Step 2: Convert to fraction form
   115.38/171.06 = 171.06/x
3. Step 3: Cross multiply
   115.38x = 171.06 × 171.06
4. Step 4: Simplify right side
   115.38x = 29,262.38
5. Step 5: Solve for x
   x = 29,262.38/115.38
6. Step 6: Final answer
   x = 253.63