Who physically raises prices on the stock market?

I'm new to investing. I get what the stock market is. It's a trading ground for shares of a company.

I get that when supply goes up, the price goes up. When demand goes down, the price goes down.

My question is, who is actually controlling the price rise and drop?

Lets say that a company is doing great and sells at $50. Everyone wants to buy so demand is going up. 200 people want to buy at $50. Who is actually causing the price to rise? Who is saying, ok the demand is going up. The stock will now sell for $55, $75, $100? I get why a stock rises but I don't get how it's done. It's not the business saying shares should now be x. After supply and demand is determined, who makes the adjustment?

Who physically raises prices on the stock market?
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