Finding the Third Proportional to 338,034 and 685,398

Step by Step Solution

1. Step 1: Write the proportion equation
   338,034 : 685,398 = 685,398 : x
2. Step 2: Convert to fraction form
   338,034/685,398 = 685,398/x
3. Step 3: Cross multiply
   338,034x = 685,398 × 685,398
4. Step 4: Simplify right side
   338,034x = 469,770,418,404
5. Step 5: Solve for x
   x = 469,770,418,404/338,034
6. Step 6: Final answer
   x = 1,389,713.52