Finding the Third Proportional to 388,204.50 and 823,065

Step by Step Solution

1. Step 1: Write the proportion equation
   388,204.50 : 823,065 = 823,065 : x
2. Step 2: Convert to fraction form
   388,204.50/823,065 = 823,065/x
3. Step 3: Cross multiply
   388,204.50x = 823,065 × 823,065
4. Step 4: Simplify right side
   388,204.50x = 677,435,994,225
5. Step 5: Solve for x
   x = 677,435,994,225/388,204.50
6. Step 6: Final answer
   x = 1,745,049.31