Finding the Third Proportional to 41,669 and 89,854

Step by Step Solution

1. Step 1: Write the proportion equation
   41,669 : 89,854 = 89,854 : x
2. Step 2: Convert to fraction form
   41,669/89,854 = 89,854/x
3. Step 3: Cross multiply
   41,669x = 89,854 × 89,854
4. Step 4: Simplify right side
   41,669x = 8,073,741,316
5. Step 5: Solve for x
   x = 8,073,741,316/41,669
6. Step 6: Final answer
   x = 193,758.94