Finding the Third Proportional to 224,640 and 480,384

Step by Step Solution

1. Step 1: Write the proportion equation
   224,640 : 480,384 = 480,384 : x
2. Step 2: Convert to fraction form
   224,640/480,384 = 480,384/x
3. Step 3: Cross multiply
   224,640x = 480,384 × 480,384
4. Step 4: Simplify right side
   224,640x = 230,768,787,456
5. Step 5: Solve for x
   x = 230,768,787,456/224,640
6. Step 6: Final answer
   x = 1,027,282.71