Finding the Third Proportional to 51.72 and 111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   51.72 : 111.42 = 111.42 : x
2. Step 2: Convert to fraction form
   51.72/111.42 = 111.42/x
3. Step 3: Cross multiply
   51.72x = 111.42 × 111.42
4. Step 4: Simplify right side
   51.72x = 12,414.83
5. Step 5: Solve for x
   x = 12,414.83/51.72
6. Step 6: Final answer
   x = 240.05