Finding the Third Proportional to 260,014 and 388,320

Step by Step Solution

1. Step 1: Write the proportion equation
   260,014 : 388,320 = 388,320 : x
2. Step 2: Convert to fraction form
   260,014/388,320 = 388,320/x
3. Step 3: Cross multiply
   260,014x = 388,320 × 388,320
4. Step 4: Simplify right side
   260,014x = 150,792,422,400
5. Step 5: Solve for x
   x = 150,792,422,400/260,014
6. Step 6: Final answer
   x = 579,939.63