When making introductions in a formal setting, you should introduce the person of higher ranking first before introducing the person of lower ranking to the person of higher ranking. Example: Mr. John Karla is the CEO (Chief Executive Officer) of Morgan Rice Enterprise and Mr. Jackson Root is the Manager of Rocket Mail Enterprise; Start out by introduce Mr. Jackson as stated below:
“This is Mr. John Karla Executive Director of… please meet Mr. John meet Mr. Jackson Root Manager of…”
Courtesy and respect demands you introduce persons of lower ranking to the person of higher ranking. This is very important in a formal setting, make no mistake.