Finding the Third Proportional to 40,774 and 89,566

Step by Step Solution

1. Step 1: Write the proportion equation
   40,774 : 89,566 = 89,566 : x
2. Step 2: Convert to fraction form
   40,774/89,566 = 89,566/x
3. Step 3: Cross multiply
   40,774x = 89,566 × 89,566
4. Step 4: Simplify right side
   40,774x = 8,022,068,356
5. Step 5: Solve for x
   x = 8,022,068,356/40,774
6. Step 6: Final answer
   x = 196,744.70