Finding the Third Proportional to 132.88 and 288.13

Step by Step Solution

1. Step 1: Write the proportion equation
   132.88 : 288.13 = 288.13 : x
2. Step 2: Convert to fraction form
   132.88/288.13 = 288.13/x
3. Step 3: Cross multiply
   132.88x = 288.13 × 288.13
4. Step 4: Simplify right side
   132.88x = 83,016.02
5. Step 5: Solve for x
   x = 83,016.02/132.88
6. Step 6: Final answer
   x = 624.77