You can try AndroidClientHandler and Programatically using androidClientHandler:
AndroidClientHandler clientHandler = new AndroidClientHandler();
Java.Security.Cert.X509Certificate cert = null;
try
{
    CertificateFactory factory = CertificateFactory.GetInstance("X.509");
    using (var stream = Application.Context.Assets.Open("MyCert.pfx"))
    {
        cert = (Java.Security.Cert.X509Certificate)factory.GenerateCertificate(stream);
    }
    } catch (Exception e)
    {
        System.Console.WriteLine(e.Message);
    }
    if (clientHandler.TrustedCerts != null)
    {
        clientHandler.TrustedCerts.Add(cert);
    }
    else
    {
        clientHandler.TrustedCerts = new List<Certificate>();
        clientHandler.TrustedCerts.Add(cert);
    }
    HttpClient client = new HttpClient(clientHandler);
Update:
If the up codes doesn't work, you can try the Android Native implementation, which leverage the same thing as AndroidClientHandler, but are more flexible for use:
var keyStore = KeyStore.GetInstance("PKCS12");
string clientCertPassword = "password_of_certificate";
using (var stream = Application.Context.Assets.Open("cert.pfx"))
{
    keyStore.Load(stream, clientCertPassword.ToCharArray());
}
KeyManagerFactory kmf = KeyManagerFactory.GetInstance("x509");
kmf.Init(keyStore, clientCertPassword.ToCharArray());
IKeyManager[] keyManagers = kmf.GetKeyManagers();
SSLContext sslContext = SSLContext.GetInstance("TLS");
sslContext.Init(keyManagers, null, null);
String result = null;
HttpURLConnection urlConnection = null;
HttpStatus lastResponseCode;
try
{
    URL requestedUrl = new URL("https://10.106.92.42:444");
    urlConnection = (HttpURLConnection)requestedUrl.OpenConnection();
    if (urlConnection is HttpsURLConnection) {
    ((HttpsURLConnection)urlConnection).SSLSocketFactory = sslContext.SocketFactory;
    }
    urlConnection.RequestMethod = "GET";
    urlConnection.ConnectTimeout = 1500;
    urlConnection.ReadTimeout = 1500;
    lastResponseCode = urlConnection.ResponseCode;
    result = ReadFully(urlConnection.InputStream);
    string lastContentType = urlConnection.ContentType;
 }
 catch (Exception ex)
 {
    result = ex.ToString();
 }
 finally
 {
    if (urlConnection != null)
    {
        urlConnection.Disconnect();
    }
 }