Finding the Third Proportional to 404,176 and 603,768

Step by Step Solution

1. Step 1: Write the proportion equation
   404,176 : 603,768 = 603,768 : x
2. Step 2: Convert to fraction form
   404,176/603,768 = 603,768/x
3. Step 3: Cross multiply
   404,176x = 603,768 × 603,768
4. Step 4: Simplify right side
   404,176x = 364,535,797,824
5. Step 5: Solve for x
   x = 364,535,797,824/404,176
6. Step 6: Final answer
   x = 901,923.41