Finding the Third Proportional to 40,778.75 and 89,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,778.75 : 89,576.50 = 89,576.50 : x
2. Step 2: Convert to fraction form
   40,778.75/89,576.50 = 89,576.50/x
3. Step 3: Cross multiply
   40,778.75x = 89,576.50 × 89,576.50
4. Step 4: Simplify right side
   40,778.75x = 8,023,949,352.25
5. Step 5: Solve for x
   x = 8,023,949,352.25/40,778.75
6. Step 6: Final answer
   x = 196,767.91