Finding the Third Proportional to 52.31 and 114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52.31 : 114.75 = 114.75 : x
2. Step 2: Convert to fraction form
   52.31/114.75 = 114.75/x
3. Step 3: Cross multiply
   52.31x = 114.75 × 114.75
4. Step 4: Simplify right side
   52.31x = 13,167.56
5. Step 5: Solve for x
   x = 13,167.56/52.31
6. Step 6: Final answer
   x = 251.71