Finding the Third Proportional to 51.52 and 113.46

Step by Step Solution

1. Step 1: Write the proportion equation
   51.52 : 113.46 = 113.46 : x
2. Step 2: Convert to fraction form
   51.52/113.46 = 113.46/x
3. Step 3: Cross multiply
   51.52x = 113.46 × 113.46
4. Step 4: Simplify right side
   51.52x = 12,873.47
5. Step 5: Solve for x
   x = 12,873.47/51.52
6. Step 6: Final answer
   x = 249.85