Finding the Third Proportional to 81,585 and 172,818

Step by Step Solution

1. Step 1: Write the proportion equation
   81,585 : 172,818 = 172,818 : x
2. Step 2: Convert to fraction form
   81,585/172,818 = 172,818/x
3. Step 3: Cross multiply
   81,585x = 172,818 × 172,818
4. Step 4: Simplify right side
   81,585x = 29,866,061,124
5. Step 5: Solve for x
   x = 29,866,061,124/81,585
6. Step 6: Final answer
   x = 366,072.94