Finding the Third Proportional to 224,464 and 480,456

Step by Step Solution

1. Step 1: Write the proportion equation
   224,464 : 480,456 = 480,456 : x
2. Step 2: Convert to fraction form
   224,464/480,456 = 480,456/x
3. Step 3: Cross multiply
   224,464x = 480,456 × 480,456
4. Step 4: Simplify right side
   224,464x = 230,837,967,936
5. Step 5: Solve for x
   x = 230,837,967,936/224,464
6. Step 6: Final answer
   x = 1,028,396.39