Finding the Third Proportional to 81,857 and 171,976

Step by Step Solution

1. Step 1: Write the proportion equation
   81,857 : 171,976 = 171,976 : x
2. Step 2: Convert to fraction form
   81,857/171,976 = 171,976/x
3. Step 3: Cross multiply
   81,857x = 171,976 × 171,976
4. Step 4: Simplify right side
   81,857x = 29,575,744,576
5. Step 5: Solve for x
   x = 29,575,744,576/81,857
6. Step 6: Final answer
   x = 361,309.90