Finding the Third Proportional to 123,564 and 269,304

Step by Step Solution

1. Step 1: Write the proportion equation
   123,564 : 269,304 = 269,304 : x
2. Step 2: Convert to fraction form
   123,564/269,304 = 269,304/x
3. Step 3: Cross multiply
   123,564x = 269,304 × 269,304
4. Step 4: Simplify right side
   123,564x = 72,524,644,416
5. Step 5: Solve for x
   x = 72,524,644,416/123,564
6. Step 6: Final answer
   x = 586,939.92