Finding the Third Proportional to 80.50 and 127.16

Step by Step Solution

1. Step 1: Write the proportion equation
   80.50 : 127.16 = 127.16 : x
2. Step 2: Convert to fraction form
   80.50/127.16 = 127.16/x
3. Step 3: Cross multiply
   80.50x = 127.16 × 127.16
4. Step 4: Simplify right side
   80.50x = 16,168.71
5. Step 5: Solve for x
   x = 16,168.71/80.50
6. Step 6: Final answer
   x = 200.85