Finding the Third Proportional to 123,084 and 268,344

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 268,344 = 268,344 : x
2. Step 2: Convert to fraction form
   123,084/268,344 = 268,344/x
3. Step 3: Cross multiply
   123,084x = 268,344 × 268,344
4. Step 4: Simplify right side
   123,084x = 72,008,502,336
5. Step 5: Solve for x
   x = 72,008,502,336/123,084
6. Step 6: Final answer
   x = 585,035.44