Finding the Third Proportional to 81,460 and 172,568

Step by Step Solution

1. Step 1: Write the proportion equation
   81,460 : 172,568 = 172,568 : x
2. Step 2: Convert to fraction form
   81,460/172,568 = 172,568/x
3. Step 3: Cross multiply
   81,460x = 172,568 × 172,568
4. Step 4: Simplify right side
   81,460x = 29,779,714,624
5. Step 5: Solve for x
   x = 29,779,714,624/81,460
6. Step 6: Final answer
   x = 365,574.69