Finding the Third Proportional to 96,565.50 and 144,288

Step by Step Solution

1. Step 1: Write the proportion equation
   96,565.50 : 144,288 = 144,288 : x
2. Step 2: Convert to fraction form
   96,565.50/144,288 = 144,288/x
3. Step 3: Cross multiply
   96,565.50x = 144,288 × 144,288
4. Step 4: Simplify right side
   96,565.50x = 20,819,026,944
5. Step 5: Solve for x
   x = 20,819,026,944/96,565.50
6. Step 6: Final answer
   x = 215,594.88