Finding the Third Proportional to 123,080 and 268,336

Step by Step Solution

1. Step 1: Write the proportion equation
   123,080 : 268,336 = 268,336 : x
2. Step 2: Convert to fraction form
   123,080/268,336 = 268,336/x
3. Step 3: Cross multiply
   123,080x = 268,336 × 268,336
4. Step 4: Simplify right side
   123,080x = 72,004,208,896
5. Step 5: Solve for x
   x = 72,004,208,896/123,080
6. Step 6: Final answer
   x = 585,019.57