Finding the Third Proportional to 127.20 and 171.81

Step by Step Solution

1. Step 1: Write the proportion equation
   127.20 : 171.81 = 171.81 : x
2. Step 2: Convert to fraction form
   127.20/171.81 = 171.81/x
3. Step 3: Cross multiply
   127.20x = 171.81 × 171.81
4. Step 4: Simplify right side
   127.20x = 29,518.19
5. Step 5: Solve for x
   x = 29,518.19/127.20
6. Step 6: Final answer
   x = 232.07