Finding the Third Proportional to 338,400 and 714,384

Step by Step Solution

1. Step 1: Write the proportion equation
   338,400 : 714,384 = 714,384 : x
2. Step 2: Convert to fraction form
   338,400/714,384 = 714,384/x
3. Step 3: Cross multiply
   338,400x = 714,384 × 714,384
4. Step 4: Simplify right side
   338,400x = 510,344,499,456
5. Step 5: Solve for x
   x = 510,344,499,456/338,400
6. Step 6: Final answer
   x = 1,508,110.22