Finding the Third Proportional to 123,034 and 268,304

Step by Step Solution

1. Step 1: Write the proportion equation
   123,034 : 268,304 = 268,304 : x
2. Step 2: Convert to fraction form
   123,034/268,304 = 268,304/x
3. Step 3: Cross multiply
   123,034x = 268,304 × 268,304
4. Step 4: Simplify right side
   123,034x = 71,987,036,416
5. Step 5: Solve for x
   x = 71,987,036,416/123,034
6. Step 6: Final answer
   x = 585,098.72