This is the 15786th most frequent Russian word.
программой
"Программой" means "program" or "schedule" in the instrumental case in Russian.
In this sentence, 'программой' is the instrumental case, indicating the means by which the action (using) is performed.
Я пользуюсь новой программой для изучения языков.
I am using a new program for language learning.
Here, 'программой' is once again in the instrumental case, showing the program of installation as an entity with which agreement is necessary.
Чтобы продолжить, нужно согласиться с программой установки.
To continue, you need to agree with the installation program.
'Программой' in this sentence identifies the software as the tool or entity with which the subject interacts.