Finding the Third Proportional to 338,742 and 495,392.25

Step by Step Solution

1. Step 1: Write the proportion equation
   338,742 : 495,392.25 = 495,392.25 : x
2. Step 2: Convert to fraction form
   338,742/495,392.25 = 495,392.25/x
3. Step 3: Cross multiply
   338,742x = 495,392.25 × 495,392.25
4. Step 4: Simplify right side
   338,742x = 245,413,481,360.06
5. Step 5: Solve for x
   x = 245,413,481,360.06/338,742
6. Step 6: Final answer
   x = 724,484.95