Finding the Third Proportional to 73.55 and 113.86

Step by Step Solution

1. Step 1: Write the proportion equation
   73.55 : 113.86 = 113.86 : x
2. Step 2: Convert to fraction form
   73.55/113.86 = 113.86/x
3. Step 3: Cross multiply
   73.55x = 113.86 × 113.86
4. Step 4: Simplify right side
   73.55x = 12,963.96
5. Step 5: Solve for x
   x = 12,963.96/73.55
6. Step 6: Final answer
   x = 176.27