Finding the Third Proportional to 81,864 and 172,422

Step by Step Solution

1. Step 1: Write the proportion equation
   81,864 : 172,422 = 172,422 : x
2. Step 2: Convert to fraction form
   81,864/172,422 = 172,422/x
3. Step 3: Cross multiply
   81,864x = 172,422 × 172,422
4. Step 4: Simplify right side
   81,864x = 29,729,346,084
5. Step 5: Solve for x
   x = 29,729,346,084/81,864
6. Step 6: Final answer
   x = 363,155.31