Finding the Third Proportional to 388,204 and 823,064

Step by Step Solution

1. Step 1: Write the proportion equation
   388,204 : 823,064 = 823,064 : x
2. Step 2: Convert to fraction form
   388,204/823,064 = 823,064/x
3. Step 3: Cross multiply
   388,204x = 823,064 × 823,064
4. Step 4: Simplify right side
   388,204x = 677,434,348,096
5. Step 5: Solve for x
   x = 677,434,348,096/388,204
6. Step 6: Final answer
   x = 1,745,047.32