Finding the Third Proportional to 41,384 and 89,329

Step by Step Solution

1. Step 1: Write the proportion equation
   41,384 : 89,329 = 89,329 : x
2. Step 2: Convert to fraction form
   41,384/89,329 = 89,329/x
3. Step 3: Cross multiply
   41,384x = 89,329 × 89,329
4. Step 4: Simplify right side
   41,384x = 7,979,670,241
5. Step 5: Solve for x
   x = 7,979,670,241/41,384
6. Step 6: Final answer
   x = 192,820.18