Finding the Third Proportional to 225,600 and 476,256

Step by Step Solution

1. Step 1: Write the proportion equation
   225,600 : 476,256 = 476,256 : x
2. Step 2: Convert to fraction form
   225,600/476,256 = 476,256/x
3. Step 3: Cross multiply
   225,600x = 476,256 × 476,256
4. Step 4: Simplify right side
   225,600x = 226,819,777,536
5. Step 5: Solve for x
   x = 226,819,777,536/225,600
6. Step 6: Final answer
   x = 1,005,406.82