Finding the Third Proportional to 81,587 and 172,822

Step by Step Solution

1. Step 1: Write the proportion equation
   81,587 : 172,822 = 172,822 : x
2. Step 2: Convert to fraction form
   81,587/172,822 = 172,822/x
3. Step 3: Cross multiply
   81,587x = 172,822 × 172,822
4. Step 4: Simplify right side
   81,587x = 29,867,443,684
5. Step 5: Solve for x
   x = 29,867,443,684/81,587
6. Step 6: Final answer
   x = 366,080.92