Yes, if your registered capital is sufficient and meets relevant regulations, you can also start with "China"
As for the conditions for the title of province, according to the "On Vigorously Developing Individuals" The provisions of point 19 of the sixth major point of "Private Economic Decision":
For enterprises that meet two or more of the following conditions, with the approval of the Provincial Administration for Industry and Commerce, they can establish a group limited company with the name of the province :
(1) The registered capital is more than 50 million yuan;
(2) There are more than 5 enterprises with legal person qualifications, one of which has annual sales of more than 10 million yuan Products;
(3) The annual output value or turnover is more than 30 million yuan; or the annual tax payment is more than 3 million yuan;
(4) The annual export earnings are more than 2 million US dollars. Support qualified private enterprises in applying for joint stock limited companies. Promote ISO9000 standard certification among private enterprises and strive to create a number of famous brands and trademarks that are influential in the province, domestically and even internationally.
Hope this helps!