Finding the Third Proportional to 386,464.50 and 826,002

Step by Step Solution

1. Step 1: Write the proportion equation
   386,464.50 : 826,002 = 826,002 : x
2. Step 2: Convert to fraction form
   386,464.50/826,002 = 826,002/x
3. Step 3: Cross multiply
   386,464.50x = 826,002 × 826,002
4. Step 4: Simplify right side
   386,464.50x = 682,279,304,004
5. Step 5: Solve for x
   x = 682,279,304,004/386,464.50
6. Step 6: Final answer
   x = 1,765,438.49