Finding the Third Proportional to 79,845 and 173,864

Step by Step Solution

1. Step 1: Write the proportion equation
   79,845 : 173,864 = 173,864 : x
2. Step 2: Convert to fraction form
   79,845/173,864 = 173,864/x
3. Step 3: Cross multiply
   79,845x = 173,864 × 173,864
4. Step 4: Simplify right side
   79,845x = 30,228,690,496
5. Step 5: Solve for x
   x = 30,228,690,496/79,845
6. Step 6: Final answer
   x = 378,592.15