Final answer:
In response to the fall of the Directory, Napoleon established the Consulate and became First Consul, later declaring himself Emperor of France in 1804.
Step-by-step explanation:
In place of the Directory, Napoleon established a group of three consuls known as the Consulate, with himself as the prominent leader by taking the title of First Consul. This position gave him effective control over France. Then, advancing his power further, he was declared Consul for Life in 1802. In 1804, he assumed even greater authority, crowning himself as Emperor of France, marking a significant transition in the French government from republicanism to empire.