Constructor with multiple arguments with Ninject

It's very easy. No matter how many constructor arguments, the binding stays the same:

Bind<IAuthorizationService>().To<MyAuthenticator>();

Let's say MyAuthenticator had a constructor with one parameter of type IFoo. All you got to do is tell ninject how it can resolve/create an IFoo. Again, very simple:

Bind<IFoo>().To<Foo>();

You don't need WithConstructorArgument ever, except in case you want to override the default behavior of ninject. Let's say MyAuthenticator has a parameter of type IFoo plus another parameter string seed which you want to configure specifically. All you'd need is:

Bind<IFoo>().To<Foo>();
Bind<IAuthorizationService>().To<MyAuthenticator>()
    .WithConstructorArgument("seed", "initialSeedValue");

no need to specify the value of the IFoo parameter!

Ninject can inject more than one constructor arguments like:

 Bind<IMyClass>().To<MyClass>().InSingletonScope()
                .WithConstructorArgument("customerName", "Daenerys Targeryan")
                .WithConstructorArgument("customerAddress", "King's Landing");

It does not change how the binding works.