Finding the Third Proportional to 41,854 and 86,605

Step by Step Solution

1. Step 1: Write the proportion equation
   41,854 : 86,605 = 86,605 : x
2. Step 2: Convert to fraction form
   41,854/86,605 = 86,605/x
3. Step 3: Cross multiply
   41,854x = 86,605 × 86,605
4. Step 4: Simplify right side
   41,854x = 7,500,426,025
5. Step 5: Solve for x
   x = 7,500,426,025/41,854
6. Step 6: Final answer
   x = 179,204.52