Finding the Third Proportional to 224,928 and 337,456

Step by Step Solution

1. Step 1: Write the proportion equation
   224,928 : 337,456 = 337,456 : x
2. Step 2: Convert to fraction form
   224,928/337,456 = 337,456/x
3. Step 3: Cross multiply
   224,928x = 337,456 × 337,456
4. Step 4: Simplify right side
   224,928x = 113,876,551,936
5. Step 5: Solve for x
   x = 113,876,551,936/224,928
6. Step 6: Final answer
   x = 506,280.02