Finding the Third Proportional to 41,413 and 89,383

Step by Step Solution

1. Step 1: Write the proportion equation
   41,413 : 89,383 = 89,383 : x
2. Step 2: Convert to fraction form
   41,413/89,383 = 89,383/x
3. Step 3: Cross multiply
   41,413x = 89,383 × 89,383
4. Step 4: Simplify right side
   41,413x = 7,989,320,689
5. Step 5: Solve for x
   x = 7,989,320,689/41,413
6. Step 6: Final answer
   x = 192,918.18