Finding the Third Proportional to 81,568 and 172,000

Step by Step Solution

1. Step 1: Write the proportion equation
   81,568 : 172,000 = 172,000 : x
2. Step 2: Convert to fraction form
   81,568/172,000 = 172,000/x
3. Step 3: Cross multiply
   81,568x = 172,000 × 172,000
4. Step 4: Simplify right side
   81,568x = 29,584,000,000
5. Step 5: Solve for x
   x = 29,584,000,000/81,568
6. Step 6: Final answer
   x = 362,691.25