Finding the Third Proportional to 41,192 and 89,980

Step by Step Solution

1. Step 1: Write the proportion equation
   41,192 : 89,980 = 89,980 : x
2. Step 2: Convert to fraction form
   41,192/89,980 = 89,980/x
3. Step 3: Cross multiply
   41,192x = 89,980 × 89,980
4. Step 4: Simplify right side
   41,192x = 8,096,400,400
5. Step 5: Solve for x
   x = 8,096,400,400/41,192
6. Step 6: Final answer
   x = 196,552.74