Breakdown of Один кактус почти засох, а второй кактус всё ещё зелёный.
Questions & Answers about Один кактус почти засох, а второй кактус всё ещё зелёный.
Because один ... второй ... is a very common way to contrast two things: one ... the other / the second ....
Here, один кактус means one cactus, and второй кактус means the second / the other cactus.
Using первый ... второй ... is also possible, but it sounds more like you are formally numbering them as first and second. In everyday comparison, один ... второй ... often sounds more natural.
It primarily means second, but in a two-item contrast it often works like the other one.
So in this sentence, второй кактус is naturally understood as the other cactus or the second cactus. Russian often uses второй where English might prefer the other.