Finding the Third Proportional to 41,492 and 89,416

Step by Step Solution

1. Step 1: Write the proportion equation
   41,492 : 89,416 = 89,416 : x
2. Step 2: Convert to fraction form
   41,492/89,416 = 89,416/x
3. Step 3: Cross multiply
   41,492x = 89,416 × 89,416
4. Step 4: Simplify right side
   41,492x = 7,995,221,056
5. Step 5: Solve for x
   x = 7,995,221,056/41,492
6. Step 6: Final answer
   x = 192,693.07