Finding the Third Proportional to 224,574 and 480,264

Step by Step Solution

1. Step 1: Write the proportion equation
   224,574 : 480,264 = 480,264 : x
2. Step 2: Convert to fraction form
   224,574/480,264 = 480,264/x
3. Step 3: Cross multiply
   224,574x = 480,264 × 480,264
4. Step 4: Simplify right side
   224,574x = 230,653,509,696
5. Step 5: Solve for x
   x = 230,653,509,696/224,574
6. Step 6: Final answer
   x = 1,027,071.30