Finding the Third Proportional to 388,224 and 823,104

Step by Step Solution

1. Step 1: Write the proportion equation
   388,224 : 823,104 = 823,104 : x
2. Step 2: Convert to fraction form
   388,224/823,104 = 823,104/x
3. Step 3: Cross multiply
   388,224x = 823,104 × 823,104
4. Step 4: Simplify right side
   388,224x = 677,500,194,816
5. Step 5: Solve for x
   x = 677,500,194,816/388,224
6. Step 6: Final answer
   x = 1,745,127.03