Finding the Third Proportional to 127.50 and 169.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 169.88 = 169.88 : x
2. Step 2: Convert to fraction form
   127.50/169.88 = 169.88/x
3. Step 3: Cross multiply
   127.50x = 169.88 × 169.88
4. Step 4: Simplify right side
   127.50x = 28,857.52
5. Step 5: Solve for x
   x = 28,857.52/127.50
6. Step 6: Final answer
   x = 226.33