Walton Edward Smith, 42, a professor of management science in the School of Government and Business at George Washington University, died Friday at Fairfax Hospital of injuries suffered in a traffic accident June 26.

A spokesman for the Fairfax County police said Dr. Smith lost control of the car he was driving on Old Keene Mill Road in Springfield, swerved across the median and was struck broadside by an oncoming vehicle.

Dr. Smith was born in Toronto, Ontario, and grew up in St. Joseph, Mo. He earned a bachelor's degree and a master's degree in business administration from the University of Missouri, where he later was a member of the board of directors. He moved to the Washington area in 1965 and went to work for the General Electric Company and later for Informatics Inc. At the same time, he earned a doctorate at George Washington.

He joined the GW faculty in 1968. He was a specialist in the use of computers to solve business problems and helped direct the school's system management program. He taught courses in automatic data processing and the design of data bases for management systems.

In addition, he was a member of the University Senate and the Athletic Committee. He was a student adviser.

Apart from his work at the university, Dr. Smith was a consultant to a number of government agencies and private businesses, and developed computer training programs.

Dr. Smith, who lived in Potomac, was a member of the parish of St. Bartholomew's Catholic Church in Bethesda. He held a pilot's license and was a member of the Aircraft Owners and Pilots Association. He also was a member of the Congressional Country Club.

Survivors include his wife, Angela Patrizio Smith, and two children, Gregory and Rebecca, all of Potomac; his parents, Walton and Margaret Smith of Toronto, and one brother, Michael Smith of Bottineau, N.D.