Finding the Third Proportional to 81,856 and 179,312

Step by Step Solution

1. Step 1: Write the proportion equation
   81,856 : 179,312 = 179,312 : x
2. Step 2: Convert to fraction form
   81,856/179,312 = 179,312/x
3. Step 3: Cross multiply
   81,856x = 179,312 × 179,312
4. Step 4: Simplify right side
   81,856x = 32,152,793,344
5. Step 5: Solve for x
   x = 32,152,793,344/81,856
6. Step 6: Final answer
   x = 392,797.03