Finding the Third Proportional to 40,779 and 89,578

Step by Step Solution

1. Step 1: Write the proportion equation
   40,779 : 89,578 = 89,578 : x
2. Step 2: Convert to fraction form
   40,779/89,578 = 89,578/x
3. Step 3: Cross multiply
   40,779x = 89,578 × 89,578
4. Step 4: Simplify right side
   40,779x = 8,024,218,084
5. Step 5: Solve for x
   x = 8,024,218,084/40,779
6. Step 6: Final answer
   x = 196,773.29