ByteDance holds the strongest market-implied position for third-largest private company by end-October 2026, supported by its established global revenue from TikTok and Douyin platforms plus recent secondary transactions valuing it near $480–550 billion. Stripe and Anduril follow due to tender offers and defense-tech funding rounds that lifted their valuations into the $150–170 billion and $100 billion ranges, respectively, while Databricks benefits from enterprise AI platform growth. Canva trails on more modest SaaS metrics. OpenAI and Anthropic sit lower in probability despite headline valuations exceeding $850 billion, as traders appear to price them ahead of ByteDance. Key near-term catalysts include any final funding closes or regulatory updates before month-end.