Finding the Third Proportional to 52.38 and 114.88

Step by Step Solution

1. Step 1: Write the proportion equation
   52.38 : 114.88 = 114.88 : x
2. Step 2: Convert to fraction form
   52.38/114.88 = 114.88/x
3. Step 3: Cross multiply
   52.38x = 114.88 × 114.88
4. Step 4: Simplify right side
   52.38x = 13,196.27
5. Step 5: Solve for x
   x = 13,196.27/52.38
6. Step 6: Final answer
   x = 251.96