Finding the Third Proportional to 81,856 and 179,327

Step by Step Solution

1. Step 1: Write the proportion equation
   81,856 : 179,327 = 179,327 : x
2. Step 2: Convert to fraction form
   81,856/179,327 = 179,327/x
3. Step 3: Cross multiply
   81,856x = 179,327 × 179,327
4. Step 4: Simplify right side
   81,856x = 32,158,172,929
5. Step 5: Solve for x
   x = 32,158,172,929/81,856
6. Step 6: Final answer
   x = 392,862.75