Finding the Third Proportional to 51.77 and 111.97

Step by Step Solution

1. Step 1: Write the proportion equation
   51.77 : 111.97 = 111.97 : x
2. Step 2: Convert to fraction form
   51.77/111.97 = 111.97/x
3. Step 3: Cross multiply
   51.77x = 111.97 × 111.97
4. Step 4: Simplify right side
   51.77x = 12,537.88
5. Step 5: Solve for x
   x = 12,537.88/51.77
6. Step 6: Final answer
   x = 242.20