Finding the Third Proportional to 123,668 and 269,416

Step by Step Solution

1. Step 1: Write the proportion equation
   123,668 : 269,416 = 269,416 : x
2. Step 2: Convert to fraction form
   123,668/269,416 = 269,416/x
3. Step 3: Cross multiply
   123,668x = 269,416 × 269,416
4. Step 4: Simplify right side
   123,668x = 72,584,981,056
5. Step 5: Solve for x
   x = 72,584,981,056/123,668
6. Step 6: Final answer
   x = 586,934.22