Finding the Third Proportional to 102,874 and 224,456

Step by Step Solution

1. Step 1: Write the proportion equation
   102,874 : 224,456 = 224,456 : x
2. Step 2: Convert to fraction form
   102,874/224,456 = 224,456/x
3. Step 3: Cross multiply
   102,874x = 224,456 × 224,456
4. Step 4: Simplify right side
   102,874x = 50,380,495,936
5. Step 5: Solve for x
   x = 50,380,495,936/102,874
6. Step 6: Final answer
   x = 489,730.12