Finding the Third Proportional to 288,256 and 388,032

Step by Step Solution

1. Step 1: Write the proportion equation
   288,256 : 388,032 = 388,032 : x
2. Step 2: Convert to fraction form
   288,256/388,032 = 388,032/x
3. Step 3: Cross multiply
   288,256x = 388,032 × 388,032
4. Step 4: Simplify right side
   288,256x = 150,568,833,024
5. Step 5: Solve for x
   x = 150,568,833,024/288,256
6. Step 6: Final answer
   x = 522,344.14