Finding the Third Proportional to 41,193 and 89,936

Step by Step Solution

1. Step 1: Write the proportion equation
   41,193 : 89,936 = 89,936 : x
2. Step 2: Convert to fraction form
   41,193/89,936 = 89,936/x
3. Step 3: Cross multiply
   41,193x = 89,936 × 89,936
4. Step 4: Simplify right side
   41,193x = 8,088,484,096
5. Step 5: Solve for x
   x = 8,088,484,096/41,193
6. Step 6: Final answer
   x = 196,355.79