Finding the Third Proportional to 123,584 and 269,836

Step by Step Solution

1. Step 1: Write the proportion equation
   123,584 : 269,836 = 269,836 : x
2. Step 2: Convert to fraction form
   123,584/269,836 = 269,836/x
3. Step 3: Cross multiply
   123,584x = 269,836 × 269,836
4. Step 4: Simplify right side
   123,584x = 72,811,466,896
5. Step 5: Solve for x
   x = 72,811,466,896/123,584
6. Step 6: Final answer
   x = 589,165.81