Companies spanning the western and central US handle this conversion routinely. A Seattle engineering team syncing with a Dallas operations center, or a Los Angeles studio coordinating with a Nashville production team, deals with the 2-hour gap throughout the workday.
Central Time is 2 hours ahead of Pacific. When it is 9 AM in Los Angeles, it is 11 AM in Chicago. A late-afternoon 4 PM meeting Pacific-side is already 6 PM Central, at the edge of the workday.
Both zones observe US DST on the same schedule. The 2-hour offset is constant year-round. PST/PDT to CST/CDT is always a simple addition of 2 hours.