Finding the Third Proportional to 383,874 and 826,068

Step by Step Solution

1. Step 1: Write the proportion equation
   383,874 : 826,068 = 826,068 : x
2. Step 2: Convert to fraction form
   383,874/826,068 = 826,068/x
3. Step 3: Cross multiply
   383,874x = 826,068 × 826,068
4. Step 4: Simplify right side
   383,874x = 682,388,340,624
5. Step 5: Solve for x
   x = 682,388,340,624/383,874
6. Step 6: Final answer
   x = 1,777,636.26