Finding the Third Proportional to 132.50 and 175.25

Step by Step Solution

1. Step 1: Write the proportion equation
   132.50 : 175.25 = 175.25 : x
2. Step 2: Convert to fraction form
   132.50/175.25 = 175.25/x
3. Step 3: Cross multiply
   132.50x = 175.25 × 175.25
4. Step 4: Simplify right side
   132.50x = 30,712.56
5. Step 5: Solve for x
   x = 30,712.56/132.50
6. Step 6: Final answer
   x = 231.79