Finding the Third Proportional to 41,192 and 89,920

Step by Step Solution

1. Step 1: Write the proportion equation
   41,192 : 89,920 = 89,920 : x
2. Step 2: Convert to fraction form
   41,192/89,920 = 89,920/x
3. Step 3: Cross multiply
   41,192x = 89,920 × 89,920
4. Step 4: Simplify right side
   41,192x = 8,085,606,400
5. Step 5: Solve for x
   x = 8,085,606,400/41,192
6. Step 6: Final answer
   x = 196,290.70