Finding the Third Proportional to 80.16 and 127.59

Step by Step Solution

1. Step 1: Write the proportion equation
   80.16 : 127.59 = 127.59 : x
2. Step 2: Convert to fraction form
   80.16/127.59 = 127.59/x
3. Step 3: Cross multiply
   80.16x = 127.59 × 127.59
4. Step 4: Simplify right side
   80.16x = 16,280.17
5. Step 5: Solve for x
   x = 16,280.17/80.16
6. Step 6: Final answer
   x = 203.11