"through a procedure" is correct and usable in written English.
You can use it when referencing a specific procedure or process that is used to complete a task. For example: "We completed the project through a procedure of thorough research and careful planning."
"It has to go through a procedure.
He tried a comeback with the Timberwolves this season after going through a procedure that gave him hope that his chronic pain would be reduced.
Dartmouth's popular hospital rankings tell patients nothing about whether they are more or less likely to live through a procedure at any of those hospitals.
Dr. Cohn's invention, a filter that is inserted into the large vein that returns blood to the heart from the abdomen, made it possible to control the blood clot through a procedure that requires only local anesthesia.
Instead, after a residential property owner is three years in arrears, the county enforces its liens through a procedure that allows the county to acquire ownership of the property.
At some point in the distant future, if I wanted to defrost my eggs and make babies, they would be taken out of their holding cell and fertilised through a procedure called ICSI (intracytoplasmic sperm injection).
The law says Alitalia would have to go through a procedure similar to bankruptcy in order to split itself in two and have its debt stay with one half, says Edoardo Staunovo Polacco, a lawyer who specialises in bankruptcy.
A further complication was added when the Supreme Court of the United States asserted successfully in Marbury v. Madison (1803) its right to declare laws unconstitutional through a procedure called judicial review.
Before they are palpable, growths in the breast may be detected through a procedure known as mammography, which entails the use of X-rays to detect lesions in breast tissue.
It is one of the largest genes in the human genome, sprawling over some 1,125,000 units of DNA, and it generates at least six types of protein through a procedure known as alternative splicing, in which different components of the gene are mixed and matched so that each set specifies a different protein.
