Finding the Third Proportional to 123,696 and 269,472

Step by Step Solution

1. Step 1: Write the proportion equation
   123,696 : 269,472 = 269,472 : x
2. Step 2: Convert to fraction form
   123,696/269,472 = 269,472/x
3. Step 3: Cross multiply
   123,696x = 269,472 × 269,472
4. Step 4: Simplify right side
   123,696x = 72,615,158,784
5. Step 5: Solve for x
   x = 72,615,158,784/123,696
6. Step 6: Final answer
   x = 587,045.33