Finding the Third Proportional to 77.50 and 132.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 132.25 = 132.25 : x
2. Step 2: Convert to fraction form
   77.50/132.25 = 132.25/x
3. Step 3: Cross multiply
   77.50x = 132.25 × 132.25
4. Step 4: Simplify right side
   77.50x = 17,490.06
5. Step 5: Solve for x
   x = 17,490.06/77.50
6. Step 6: Final answer
   x = 225.68