Finding the Third Proportional to 80.16 and 104.20

Step by Step Solution

1. Step 1: Write the proportion equation
   80.16 : 104.20 = 104.20 : x
2. Step 2: Convert to fraction form
   80.16/104.20 = 104.20/x
3. Step 3: Cross multiply
   80.16x = 104.20 × 104.20
4. Step 4: Simplify right side
   80.16x = 10,858.29
5. Step 5: Solve for x
   x = 10,858.29/80.16
6. Step 6: Final answer
   x = 135.46