Okay kiddo, so imagine you're in space and you see a spiral galaxy. An intermediate spiral galaxy is a specific type of spiral galaxy that's kind of in between two other types of spiral galaxies.
See, there are two main types of spiral galaxies: barred and unbarred. Barred spiral galaxies have a long "bar" of stars in the middle that kind of looks like a straight line. Unbarred spiral galaxies don't have this bar, and instead have a more circular center.
An intermediate spiral galaxy has a somewhat noticeable bar, but it's not as big or defined as the bars you see in a true barred spiral galaxy. So it's kind of a mix between the two.
Intermediate spiral galaxies also tend to have spiral arms that are kind of in between the tight, well-defined arms of a barred spiral and the looser, more open arms of an unbarred spiral.
So, in summary, an intermediate spiral galaxy is a type of spiral galaxy that has a bit of a bar in the middle and spiral arms that are not too tight or too loose. It's like a mix between two other types of spirals galaxies.