Finding the Third Proportional to 41,085 and 86,320

Step by Step Solution

1. Step 1: Write the proportion equation
   41,085 : 86,320 = 86,320 : x
2. Step 2: Convert to fraction form
   41,085/86,320 = 86,320/x
3. Step 3: Cross multiply
   41,085x = 86,320 × 86,320
4. Step 4: Simplify right side
   41,085x = 7,451,142,400
5. Step 5: Solve for x
   x = 7,451,142,400/41,085
6. Step 6: Final answer
   x = 181,359.19