Finding the Third Proportional to 338,508 and 743,456

Step by Step Solution

1. Step 1: Write the proportion equation
   338,508 : 743,456 = 743,456 : x
2. Step 2: Convert to fraction form
   338,508/743,456 = 743,456/x
3. Step 3: Cross multiply
   338,508x = 743,456 × 743,456
4. Step 4: Simplify right side
   338,508x = 552,726,823,936
5. Step 5: Solve for x
   x = 552,726,823,936/338,508
6. Step 6: Final answer
   x = 1,632,832.38