For this case we propose a rule of three:
110.2 million -------------> 100%
x --------------------------------------> 17.7%
Where the variable "x" represents the number of households (in millions) that watched the finals of a popular reality series.

Thus, a total of 19.5054 million homes watched the finals of a popular reality series.
Answer:
19.5054 million homes watched the finals of a popular reality series.