Finding the Third Proportional to 173,876 and 419,742

Step by Step Solution

1. Step 1: Write the proportion equation
   173,876 : 419,742 = 419,742 : x
2. Step 2: Convert to fraction form
   173,876/419,742 = 419,742/x
3. Step 3: Cross multiply
   173,876x = 419,742 × 419,742
4. Step 4: Simplify right side
   173,876x = 176,183,346,564
5. Step 5: Solve for x
   x = 176,183,346,564/173,876
6. Step 6: Final answer
   x = 1,013,270.07