Finding the Third Proportional to 40,919 and 89,645

Step by Step Solution

1. Step 1: Write the proportion equation
   40,919 : 89,645 = 89,645 : x
2. Step 2: Convert to fraction form
   40,919/89,645 = 89,645/x
3. Step 3: Cross multiply
   40,919x = 89,645 × 89,645
4. Step 4: Simplify right side
   40,919x = 8,036,226,025
5. Step 5: Solve for x
   x = 8,036,226,025/40,919
6. Step 6: Final answer
   x = 196,393.51