Finding the Third Proportional to 75.56 and 112.78

Step by Step Solution

1. Step 1: Write the proportion equation
   75.56 : 112.78 = 112.78 : x
2. Step 2: Convert to fraction form
   75.56/112.78 = 112.78/x
3. Step 3: Cross multiply
   75.56x = 112.78 × 112.78
4. Step 4: Simplify right side
   75.56x = 12,719.61
5. Step 5: Solve for x
   x = 12,719.61/75.56
6. Step 6: Final answer
   x = 168.33