Finding the Third Proportional to 257,040 and 384,048

Step by Step Solution

1. Step 1: Write the proportion equation
   257,040 : 384,048 = 384,048 : x
2. Step 2: Convert to fraction form
   257,040/384,048 = 384,048/x
3. Step 3: Cross multiply
   257,040x = 384,048 × 384,048
4. Step 4: Simplify right side
   257,040x = 147,492,866,304
5. Step 5: Solve for x
   x = 147,492,866,304/257,040
6. Step 6: Final answer
   x = 573,812.89