When any officer shall be required to execute a new bond, with surety, as provided for in § 8-3-190, he shall proceed forthwith to execute such new bond and submit it for approval to the officer authorized by law to approve it. If he shall fail or neglect to so execute and submit such new bond or fail or neglect to execute and submit a bond satisfactory to the officer authorized to approve such bond within thirty days after having been required so to do, the officer authorized to approve such new bond shall forthwith report to the Governor that such officer has been duly required under the provisions of § 8-3-190 to furnish a new bond and that such officer has failed so to do. Upon being so informed and upon receiving a certified copy of all the papers relative to the case, the Governor, by public proclamation shall forthwith declare the office held by such defaulting officer vacant and such office so made vacant shall be filled in the manner now provided by law.