Finding the Third Proportional to 83,499 and 171,087

Step by Step Solution

1. Step 1: Write the proportion equation
   83,499 : 171,087 = 171,087 : x
2. Step 2: Convert to fraction form
   83,499/171,087 = 171,087/x
3. Step 3: Cross multiply
   83,499x = 171,087 × 171,087
4. Step 4: Simplify right side
   83,499x = 29,270,761,569
5. Step 5: Solve for x
   x = 29,270,761,569/83,499
6. Step 6: Final answer
   x = 350,552.24