Finding the Third Proportional to 41,184 and 89,919

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 89,919 = 89,919 : x
2. Step 2: Convert to fraction form
   41,184/89,919 = 89,919/x
3. Step 3: Cross multiply
   41,184x = 89,919 × 89,919
4. Step 4: Simplify right side
   41,184x = 8,085,426,561
5. Step 5: Solve for x
   x = 8,085,426,561/41,184
6. Step 6: Final answer
   x = 196,324.46