Finding the Third Proportional to 41,416 and 89,390

Step by Step Solution

1. Step 1: Write the proportion equation
   41,416 : 89,390 = 89,390 : x
2. Step 2: Convert to fraction form
   41,416/89,390 = 89,390/x
3. Step 3: Cross multiply
   41,416x = 89,390 × 89,390
4. Step 4: Simplify right side
   41,416x = 7,990,572,100
5. Step 5: Solve for x
   x = 7,990,572,100/41,416
6. Step 6: Final answer
   x = 192,934.42