Finding the Third Proportional to 52.46 and 114.53

Step by Step Solution

1. Step 1: Write the proportion equation
   52.46 : 114.53 = 114.53 : x
2. Step 2: Convert to fraction form
   52.46/114.53 = 114.53/x
3. Step 3: Cross multiply
   52.46x = 114.53 × 114.53
4. Step 4: Simplify right side
   52.46x = 13,116.93
5. Step 5: Solve for x
   x = 13,116.93/52.46
6. Step 6: Final answer
   x = 250.04