The following synonyms, found on sites like Merriam-Webster and Thesaurus.com , highlight the different ways "approaching" is used:
Nearing a specific condition, level, or standard. Example: "The total raised is approaching $1,000". Specialized Contexts approaching
Nearing, advancing, closing in, or coming closer. Example: "We could see the train approaching the station". The following synonyms, found on sites like Merriam-Webster