Finding the Third Proportional to 223,572 and 337,456

Step by Step Solution

1. Step 1: Write the proportion equation
   223,572 : 337,456 = 337,456 : x
2. Step 2: Convert to fraction form
   223,572/337,456 = 337,456/x
3. Step 3: Cross multiply
   223,572x = 337,456 × 337,456
4. Step 4: Simplify right side
   223,572x = 113,876,551,936
5. Step 5: Solve for x
   x = 113,876,551,936/223,572
6. Step 6: Final answer
   x = 509,350.69