Finding the Third Proportional to 77.50 and 111.13

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 111.13 = 111.13 : x
2. Step 2: Convert to fraction form
   77.50/111.13 = 111.13/x
3. Step 3: Cross multiply
   77.50x = 111.13 × 111.13
4. Step 4: Simplify right side
   77.50x = 12,348.77
5. Step 5: Solve for x
   x = 12,348.77/77.50
6. Step 6: Final answer
   x = 159.34