Finding the Third Proportional to 77.20 and 113.27

Step by Step Solution

1. Step 1: Write the proportion equation
   77.20 : 113.27 = 113.27 : x
2. Step 2: Convert to fraction form
   77.20/113.27 = 113.27/x
3. Step 3: Cross multiply
   77.20x = 113.27 × 113.27
4. Step 4: Simplify right side
   77.20x = 12,830.87
5. Step 5: Solve for x
   x = 12,830.87/77.20
6. Step 6: Final answer
   x = 166.20