Finding the Third Proportional to 123,357 and 268,986

Step by Step Solution

1. Step 1: Write the proportion equation
   123,357 : 268,986 = 268,986 : x
2. Step 2: Convert to fraction form
   123,357/268,986 = 268,986/x
3. Step 3: Cross multiply
   123,357x = 268,986 × 268,986
4. Step 4: Simplify right side
   123,357x = 72,353,468,196
5. Step 5: Solve for x
   x = 72,353,468,196/123,357
6. Step 6: Final answer
   x = 586,537.19