Finding the Third Proportional to 52.38 and 113.38

Step by Step Solution

1. Step 1: Write the proportion equation
   52.38 : 113.38 = 113.38 : x
2. Step 2: Convert to fraction form
   52.38/113.38 = 113.38/x
3. Step 3: Cross multiply
   52.38x = 113.38 × 113.38
4. Step 4: Simplify right side
   52.38x = 12,853.89
5. Step 5: Solve for x
   x = 12,853.89/52.38
6. Step 6: Final answer
   x = 245.42