Finding the Third Proportional to 224,576 and 480,268

Step by Step Solution

1. Step 1: Write the proportion equation
   224,576 : 480,268 = 480,268 : x
2. Step 2: Convert to fraction form
   224,576/480,268 = 480,268/x
3. Step 3: Cross multiply
   224,576x = 480,268 × 480,268
4. Step 4: Simplify right side
   224,576x = 230,657,351,824
5. Step 5: Solve for x
   x = 230,657,351,824/224,576
6. Step 6: Final answer
   x = 1,027,079.26