Finding the Third Proportional to 41,411 and 89,379

Step by Step Solution

1. Step 1: Write the proportion equation
   41,411 : 89,379 = 89,379 : x
2. Step 2: Convert to fraction form
   41,411/89,379 = 89,379/x
3. Step 3: Cross multiply
   41,411x = 89,379 × 89,379
4. Step 4: Simplify right side
   41,411x = 7,988,605,641
5. Step 5: Solve for x
   x = 7,988,605,641/41,411
6. Step 6: Final answer
   x = 192,910.23