Finding the Third Proportional to 123,568 and 269,789

Step by Step Solution

1. Step 1: Write the proportion equation
   123,568 : 269,789 = 269,789 : x
2. Step 2: Convert to fraction form
   123,568/269,789 = 269,789/x
3. Step 3: Cross multiply
   123,568x = 269,789 × 269,789
4. Step 4: Simplify right side
   123,568x = 72,786,104,521
5. Step 5: Solve for x
   x = 72,786,104,521/123,568
6. Step 6: Final answer
   x = 589,036.84