Finding the Third Proportional to 388,196 and 823,048

Step by Step Solution

1. Step 1: Write the proportion equation
   388,196 : 823,048 = 823,048 : x
2. Step 2: Convert to fraction form
   388,196/823,048 = 823,048/x
3. Step 3: Cross multiply
   388,196x = 823,048 × 823,048
4. Step 4: Simplify right side
   388,196x = 677,408,010,304
5. Step 5: Solve for x
   x = 677,408,010,304/388,196
6. Step 6: Final answer
   x = 1,745,015.43