Finding the Third Proportional to 41,407 and 89,372

Step by Step Solution

1. Step 1: Write the proportion equation
   41,407 : 89,372 = 89,372 : x
2. Step 2: Convert to fraction form
   41,407/89,372 = 89,372/x
3. Step 3: Cross multiply
   41,407x = 89,372 × 89,372
4. Step 4: Simplify right side
   41,407x = 7,987,354,384
5. Step 5: Solve for x
   x = 7,987,354,384/41,407
6. Step 6: Final answer
   x = 192,898.65