Finding the Third Proportional to 40,782 and 89,583

Step by Step Solution

1. Step 1: Write the proportion equation
   40,782 : 89,583 = 89,583 : x
2. Step 2: Convert to fraction form
   40,782/89,583 = 89,583/x
3. Step 3: Cross multiply
   40,782x = 89,583 × 89,583
4. Step 4: Simplify right side
   40,782x = 8,025,113,889
5. Step 5: Solve for x
   x = 8,025,113,889/40,782
6. Step 6: Final answer
   x = 196,780.78