Finding the Third Proportional to 80.38 and 112.63

Step by Step Solution

1. Step 1: Write the proportion equation
   80.38 : 112.63 = 112.63 : x
2. Step 2: Convert to fraction form
   80.38/112.63 = 112.63/x
3. Step 3: Cross multiply
   80.38x = 112.63 × 112.63
4. Step 4: Simplify right side
   80.38x = 12,684.39
5. Step 5: Solve for x
   x = 12,684.39/80.38
6. Step 6: Final answer
   x = 157.82