Given information:
- HCF of the two numbers is 28.
- LCM of the two numbers is 336.
- One number is 112.

Introduction:
To find the other number, we need to understand the concepts of HCF (Highest Common Factor) and LCM (Least Common Multiple).

Definition of HCF:
HCF is the largest number that divides two given numbers without leaving any remainder. It is also known as the Greatest Common Divisor (GCD).

Definition of LCM:
LCM is the smallest multiple that is divisible by two given numbers.

Calculating the other number:
1. We are given that the HCF of the two numbers is 28. Therefore, both numbers are divisible by 28.
2. Let's assume the other number as 'x'.
3. Since the HCF of the two numbers is 28, we can write the first number as 28a (where 'a' is a positive integer).
4. Similarly, we can write the other number as 28x.
5. We know that the LCM of two numbers can be calculated by dividing their product by their HCF: LCM = (28a * 28x) / 28.
6. Given that the LCM is 336, we can write the equation as 336 = (28a * 28x) / 28.
7. Simplifying the equation, we get 12 = ax.
8. We are also given that one number is 112. Substituting this value in the equation, we get 12 = 112x.
9. Solving for 'x', we find x = 12/112 = 1/9.
10. Therefore, the other number is 28 * (1/9) = 28/9.

Conclusion:
The other number is 28/9.