The main thing you should do is to first parse (or convert) the strings to integers (in this case doubles) because Console.ReadLine(); reads only string values.
Here's the code:
using System;
class SumOfThreeNumbers
{
static void Main()
{
Console.Write("Please write your first number: ");
string numberOne = Console.ReadLine();
double numberOneP = double.Parse(numberOne);
Console.Write("Please write your second number: ");
string numberTwo = Console.ReadLine();
double numberTwoP = double.Parse(numberTwo);
Console.Write("Please write your third number: ");
string numberThree = Console.ReadLine();
double numberThreeP = double.Parse(numberThree);
Console.WriteLine("The sum of the three numbers is: " + (numberOneP+numberTwoP+numberThreeP));
}
}