Finding the Third Proportional to 83,311 and 172,170

Step by Step Solution

1. Step 1: Write the proportion equation
   83,311 : 172,170 = 172,170 : x
2. Step 2: Convert to fraction form
   83,311/172,170 = 172,170/x
3. Step 3: Cross multiply
   83,311x = 172,170 × 172,170
4. Step 4: Simplify right side
   83,311x = 29,642,508,900
5. Step 5: Solve for x
   x = 29,642,508,900/83,311
6. Step 6: Final answer
   x = 355,805.46