Finding the Third Proportional to 132,565.50 and 205,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,565.50 : 205,591.50 = 205,591.50 : x
2. Step 2: Convert to fraction form
   132,565.50/205,591.50 = 205,591.50/x
3. Step 3: Cross multiply
   132,565.50x = 205,591.50 × 205,591.50
4. Step 4: Simplify right side
   132,565.50x = 42,267,864,872.25
5. Step 5: Solve for x
   x = 42,267,864,872.25/132,565.50
6. Step 6: Final answer
   x = 318,845.14