Finding the Third Proportional to 41,184 and 89,760

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 89,760 = 89,760 : x
2. Step 2: Convert to fraction form
   41,184/89,760 = 89,760/x
3. Step 3: Cross multiply
   41,184x = 89,760 × 89,760
4. Step 4: Simplify right side
   41,184x = 8,056,857,600
5. Step 5: Solve for x
   x = 8,056,857,600/41,184
6. Step 6: Final answer
   x = 195,630.77