Step 1: Understanding the Concept:
A homologous series is a family of compounds that differ from the next member by a \(-\text{CH}_2-\) unit. Formic acid, \(\text{HCOOH}\), is the first member of the carboxylic acid series.
Step 2: Key Formula or Approach:
First higher homologue \(=\) formic acid \(+ \text{CH}_2\). Second higher homologue \(=\) formic acid \(+ 2\text{CH}_2\).
Step 3: Detailed Explanation:
\(\text{HCOOH}\) (methanoic acid) \(+ \text{CH}_2 = \text{CH}_3\text{COOH}\) (ethanoic acid), the first higher homologue.
\(\text{CH}_3\text{COOH} + \text{CH}_2 = \text{CH}_3\text{CH}_2\text{COOH}\) (propanoic acid), the second higher homologue.
Methanoic acid is formic acid itself, ethanoic acid is the first higher homologue, and butanoic acid is the third higher homologue.
Final Answer:
The second higher homologue is propanoic acid, option (C).
\[ \boxed{\text{Propanoic acid}} \]