Finding the Third Proportional to 338,793 and 495,456

Step by Step Solution

1. Step 1: Write the proportion equation
   338,793 : 495,456 = 495,456 : x
2. Step 2: Convert to fraction form
   338,793/495,456 = 495,456/x
3. Step 3: Cross multiply
   338,793x = 495,456 × 495,456
4. Step 4: Simplify right side
   338,793x = 245,476,647,936
5. Step 5: Solve for x
   x = 245,476,647,936/338,793
6. Step 6: Final answer
   x = 724,562.34