Finding the Third Proportional to 80,918 and 172,042

Step by Step Solution

1. Step 1: Write the proportion equation
   80,918 : 172,042 = 172,042 : x
2. Step 2: Convert to fraction form
   80,918/172,042 = 172,042/x
3. Step 3: Cross multiply
   80,918x = 172,042 × 172,042
4. Step 4: Simplify right side
   80,918x = 29,598,449,764
5. Step 5: Solve for x
   x = 29,598,449,764/80,918
6. Step 6: Final answer
   x = 365,783.26