Finding the Third Proportional to 41,900 and 89,872

Step by Step Solution

1. Step 1: Write the proportion equation
   41,900 : 89,872 = 89,872 : x
2. Step 2: Convert to fraction form
   41,900/89,872 = 89,872/x
3. Step 3: Cross multiply
   41,900x = 89,872 × 89,872
4. Step 4: Simplify right side
   41,900x = 8,076,976,384
5. Step 5: Solve for x
   x = 8,076,976,384/41,900
6. Step 6: Final answer
   x = 192,767.93