Finding the Third Proportional to 123,336 and 269,016

Step by Step Solution

1. Step 1: Write the proportion equation
   123,336 : 269,016 = 269,016 : x
2. Step 2: Convert to fraction form
   123,336/269,016 = 269,016/x
3. Step 3: Cross multiply
   123,336x = 269,016 × 269,016
4. Step 4: Simplify right side
   123,336x = 72,369,608,256
5. Step 5: Solve for x
   x = 72,369,608,256/123,336
6. Step 6: Final answer
   x = 586,767.92