Finding the Third Proportional to 380,256 and 826,204

Step by Step Solution

1. Step 1: Write the proportion equation
   380,256 : 826,204 = 826,204 : x
2. Step 2: Convert to fraction form
   380,256/826,204 = 826,204/x
3. Step 3: Cross multiply
   380,256x = 826,204 × 826,204
4. Step 4: Simplify right side
   380,256x = 682,613,049,616
5. Step 5: Solve for x
   x = 682,613,049,616/380,256
6. Step 6: Final answer
   x = 1,795,140.77