Finding the Third Proportional to 123,024 and 269,022

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024 : 269,022 = 269,022 : x
2. Step 2: Convert to fraction form
   123,024/269,022 = 269,022/x
3. Step 3: Cross multiply
   123,024x = 269,022 × 269,022
4. Step 4: Simplify right side
   123,024x = 72,372,836,484
5. Step 5: Solve for x
   x = 72,372,836,484/123,024
6. Step 6: Final answer
   x = 588,282.26