Finding the Third Proportional to 224,256 and 477,576

Step by Step Solution

1. Step 1: Write the proportion equation
   224,256 : 477,576 = 477,576 : x
2. Step 2: Convert to fraction form
   224,256/477,576 = 477,576/x
3. Step 3: Cross multiply
   224,256x = 477,576 × 477,576
4. Step 4: Simplify right side
   224,256x = 228,078,835,776
5. Step 5: Solve for x
   x = 228,078,835,776/224,256
6. Step 6: Final answer
   x = 1,017,046.75