How to access parameter not present in URL in react router v4

Question

I'm using react router v4. I have navbar in it. it has one dropdown clicking on it it navigates to one page. I'm passing it's as URL parameter but I want it's name on my next page as well. Any idea how to add that one? my routes re like this.

ReactDOM.render(
  <Provider store={store}>
     <BrowserRouter >
      <div>
        <HeaderContainer/>
          <Route path="/program/:program_id" component={ProgramContainer}/>   
      </div>
    </BrowserRouter>
  </Provider>, document.getElementById('root')
);

I tried like this way:

Details(Name){
        console.log("prog name",Name)
        this.setState(() => {
            name:Name
        })
    }

This is how I am populating menu in nav:

  {program.map((prog) => 
                            <LinkContainer key={prog.pk} to={program_data_url+prog.pk}>
                               <MenuItem  key={prog.pk} onClick={()=>this.programDetails(prog.name)} >{prog.name}
                              </MenuItem> 
                              </LinkContainer>
                            )}