Finding the Third Proportional to 80.16 and 123.82

Step by Step Solution

1. Step 1: Write the proportion equation
   80.16 : 123.82 = 123.82 : x
2. Step 2: Convert to fraction form
   80.16/123.82 = 123.82/x
3. Step 3: Cross multiply
   80.16x = 123.82 × 123.82
4. Step 4: Simplify right side
   80.16x = 15,331.47
5. Step 5: Solve for x
   x = 15,331.47/80.16
6. Step 6: Final answer
   x = 191.27