The increasing complexity and workload of clinical radiology leads to inevitable oversights and mistakes in their use as diagnostic tools, causing delayed treatments and sometimes life-threatening harms to patients. While large language models (LLMs) have shown remarkable progress in many tasks, their utilities in detecting and correcting errors in radiology reporting are limited. We present a novel dual-knowledge infusion framework that enhances LLMs' capability for radiology report proofreading through systematic integration of medical expertise. Specifically, our knowledge infusion combines medical knowledge graph distillation (MKGD) with external knowledge retrieval (EXKR), enabling an effective automated approach in tackling mistakes in radiology reporting. By decomposing the complex proofreading task into three specialized stages of detection, localization, and correction, our method mirrors the systematic review process employed by expert radiologists, ensuring both precision and clinical interpretability. The dual-knowledge framework captures intricate medical relationships through structured graph representations while leveraging curated clinical expertise from reference reports. To perform a robust, clinically relevant evaluation, we constructed a comprehensive benchmark using real-world radiology reports with error patterns derived from real-world scenarios, including speech recognition confusions, terminology ambiguities, and template-related inconsistencies, all validated by practicing radiologists. Extensive evaluations across multiple LLM architectures demonstrate substantial improvements of our approach: up to 31.56\% increase in error detection accuracy and 37.4\% reduction in processing time. Human evaluation by radiologists confirms superior clinical relevance and factual consistency compared to existing approaches. Our framework addresses critical needs in clinical practice by enhancing report quality while reducing radiologist burden, particularly benefiting resource-constrained healthcare environments.