Finding the Third Proportional to 81,486 and 172,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,486 : 172,879.50 = 172,879.50 : x
2. Step 2: Convert to fraction form
   81,486/172,879.50 = 172,879.50/x
3. Step 3: Cross multiply
   81,486x = 172,879.50 × 172,879.50
4. Step 4: Simplify right side
   81,486x = 29,887,321,520.25
5. Step 5: Solve for x
   x = 29,887,321,520.25/81,486
6. Step 6: Final answer
   x = 366,778.61