He made his debut in the NBL in 2006 as a development player with the Brisbane Bullets, going on to play for the Perth Wildcats and Gold Coast Blaze, before settling in Melbourne.

Goulding is a regular with the Australian Boomers, but he also holds a British passport thanks to his father, which allowed him to play as a local in Spain and Italy between 2014 and 2016.

[4] He attended West Launceston Primary School and spent a lot of time around Australian rules football thanks to his father Steve who played professionally for North Melbourne and Claremont.

[7] Goulding began his professional career as a development player with the Brisbane Bullets during the 2006–07 NBL season.

[8] He made his NBL debut and lone appearance of the season on 23 December 2006 against the Townsville Crocodiles, recording one assist in 5½ minutes.

[14][15] After a stint with the Cleveland Cavaliers during the 2013 NBA Summer League,[16] Goulding continued on with the Tigers for the 2013–14 NBL season.

[19] After a stint with the Dallas Mavericks during the 2014 NBA Summer League,[20] Goulding moved to Spain for the 2014–15 season to play for CAI Zaragoza.

[22] He helped United win the minor premiership after they finished the regular season in first place with an 18–10 record.

Goulding returned to United for the 2016–17 NBL season,[26] but he played 22 of a possible 28 games after separate left ankle sprains.

[27][28] United missed the finals in 2016–17 with a sixth-place finish and a 13–15 record, and following the season, he opted for surgery on his left ankle, which sidelined him for eight to ten weeks.

[28] The 2017–18 NBL season saw Goulding lead United back to the top of the table with a first-place finish and a 20–8 record.

[56] As a youth, Goulding represented Australia in under-18s, under-19s and under-20s,[57] including playing at the 2007 FIBA Under-19 World Championship in Serbia.

[58] In 2018, he won a gold medal with the Boomers at the Commonwealth Games, and in 2019, he competed at the FIBA World Cup in China.

[13][32] His father played and coached at North Launceston Football Club, and was inducted into the AFL Tasmania Hall of Fame in 2008.