Use row_number() to take middle row in a set of records

previously I opened an issue asking how to take the first row in a set of records which were resolved brilliantly. Pitifully my customer changed his request a little after so this time I'm asking your help to find the middle row in a set of records i.e. having this:

I have to take the 1421295 record, whereas having an even number either the middle + 1 or middle - 1

So starting from this query, which return the 1421294 record to be clear

SELECT * 
    FROM (
        SELECT 
            CastingID, TemperatureValue, TemperatureDateTime
            , ROW_NUMBER() OVER (PARTITION BY CastingID ORDER BY CastingID) RN
        FROM Production.Temperatures
        where YEAR(TemperatureDateTime) = 2021 and PhaseID = 250
    ) A
    WHERE RN = 1 and year(A.TemperatureDateTime) = 2021

can I obtain the result I want or I have to change my approach?

Edit: Updated to use a cte. Edit2: Updated to use a join rather than a sub-select to handle multiple castingIds

Since ROW_NUMBER() is going to give us a continuous set of values, why not find MAX(RN), divide by 2 and then round? If the MAX(RN) is odd, you'll get the true median, if it's even you'll get rounded down. There's likely a cleaner way to do this but something like this:

  WITH cte AS (
        SELECT 
            temperatureID 
            ,castingID
            ,temperatureValue
            ,ROW_NUMBER() OVER (PARTITION BY castingID ORDER BY TemperatureDateTime) AS RN
        FROM Temperatures
)
SELECT
    * 
FROM cte AS c
INNER JOIN (
    SELECT
        castingID
        ,CEILING(CONVERT(DECIMAL(7,2),MAX(RN)) / 2) AS med
    FROM cte
    GROUP BY castingID
) AS m ON c.rn = m.med AND c.castingID = m.castingID

Here is a SQL Fiddle with the result of the query: https://dbfiddle.uk/?rdbms=sqlserver_2019&fiddle=5b3aebf3ab4ced946c90a435d9edce3c

There's three use cases (all with different castingID).

1.) Odd number of rows

2.) Even number of rows

3.) A single row