Finding the Third Proportional to 41,082 and 84,111

Step by Step Solution

1. Step 1: Write the proportion equation
   41,082 : 84,111 = 84,111 : x
2. Step 2: Convert to fraction form
   41,082/84,111 = 84,111/x
3. Step 3: Cross multiply
   41,082x = 84,111 × 84,111
4. Step 4: Simplify right side
   41,082x = 7,074,660,321
5. Step 5: Solve for x
   x = 7,074,660,321/41,082
6. Step 6: Final answer
   x = 172,208.27