Finding the Third Proportional to 83,892 and 171,672

Step by Step Solution

1. Step 1: Write the proportion equation
   83,892 : 171,672 = 171,672 : x
2. Step 2: Convert to fraction form
   83,892/171,672 = 171,672/x
3. Step 3: Cross multiply
   83,892x = 171,672 × 171,672
4. Step 4: Simplify right side
   83,892x = 29,471,275,584
5. Step 5: Solve for x
   x = 29,471,275,584/83,892
6. Step 6: Final answer
   x = 351,300.19