Finding the Third Proportional to 383,876 and 826,074

Step by Step Solution

1. Step 1: Write the proportion equation
   383,876 : 826,074 = 826,074 : x
2. Step 2: Convert to fraction form
   383,876/826,074 = 826,074/x
3. Step 3: Cross multiply
   383,876x = 826,074 × 826,074
4. Step 4: Simplify right side
   383,876x = 682,398,253,476
5. Step 5: Solve for x
   x = 682,398,253,476/383,876
6. Step 6: Final answer
   x = 1,777,652.82