Finding the Third Proportional to 81,820 and 172,388

Step by Step Solution

1. Step 1: Write the proportion equation
   81,820 : 172,388 = 172,388 : x
2. Step 2: Convert to fraction form
   81,820/172,388 = 172,388/x
3. Step 3: Cross multiply
   81,820x = 172,388 × 172,388
4. Step 4: Simplify right side
   81,820x = 29,717,622,544
5. Step 5: Solve for x
   x = 29,717,622,544/81,820
6. Step 6: Final answer
   x = 363,207.32