java program that asks user to inputs second largest and largest numbers

//java program that asks user to input a number and print the 1st and 2nd largest numbers

import java.util.Scanner;

public class twolargestnum
{
    public static void main(String args[])
    {
        Scanner input=new Scanner(System.in);

        int largest_2=0; //initializes second number
        int largest=0; //initializes first number
        int number;
        int counter=0;//initializes counter



        while(counter<10)
        {
            System.out.println("enter the number:");
            number=input.nextInt();//prompts user

            if(largest<number){
            largest=number;//stores number to largest
            largest_2=largest;}//stores largest to second largest or         largest_2
            else{

            if(largest_2<number &&largest>largest_2)
            largest_2=number; //stores second largest to number


            }
            counter=counter+1;//counts number input 10 times
    }

        System.out.println("The first largest number is "         +largest);//displays largest number inputed
    System.out.println("The second largest number is " +largest_2);//displays second largest number inputed

     }

}

Output

enter the number:
99
enter the number:
88
enter the number:
77
enter the number:
66
enter the number:
55
enter the number:
44
enter the number:
33
enter the number:
22
enter the number:
11
enter the number:
10
The first largest number is 99
The second largest number is 99 

As you can see , the program displays the second largest number as 99 instead of 88. what am I doing wrong?