Finding the Third Proportional to 381,860 and 826,648

Step by Step Solution

1. Step 1: Write the proportion equation
   381,860 : 826,648 = 826,648 : x
2. Step 2: Convert to fraction form
   381,860/826,648 = 826,648/x
3. Step 3: Cross multiply
   381,860x = 826,648 × 826,648
4. Step 4: Simplify right side
   381,860x = 683,346,915,904
5. Step 5: Solve for x
   x = 683,346,915,904/381,860
6. Step 6: Final answer
   x = 1,789,522.12