Finding the Third Proportional to 398,002 and 819,364

Step by Step Solution

1. Step 1: Write the proportion equation
   398,002 : 819,364 = 819,364 : x
2. Step 2: Convert to fraction form
   398,002/819,364 = 819,364/x
3. Step 3: Cross multiply
   398,002x = 819,364 × 819,364
4. Step 4: Simplify right side
   398,002x = 671,357,364,496
5. Step 5: Solve for x
   x = 671,357,364,496/398,002
6. Step 6: Final answer
   x = 1,686,819.07