Finding the Third Proportional to 140,504 and 268,048

Step by Step Solution

1. Step 1: Write the proportion equation
   140,504 : 268,048 = 268,048 : x
2. Step 2: Convert to fraction form
   140,504/268,048 = 268,048/x
3. Step 3: Cross multiply
   140,504x = 268,048 × 268,048
4. Step 4: Simplify right side
   140,504x = 71,849,730,304
5. Step 5: Solve for x
   x = 71,849,730,304/140,504
6. Step 6: Final answer
   x = 511,371.42