This is the 13537th most frequent Russian word.
наступающем
"Approaching" or "upcoming."
Here, "наступающем" is used as an adjective to describe a specific time period ('год'; year) that is approaching or about to come.
В наступающем году мы планируем путешествовать.
In the upcoming year, we plan to travel.
In this sentence, "наступающем" characterizes 'месяце' (month) that is soon arriving, signaling imminent events.
В наступающем месяце начнется учебный семестр.
In the upcoming month, the academic semester will begin.
Here, "наступающем" is modifying 'празднике' (holiday), emphasizing its occurrence in the near future.