In pokemon gold you have to find first an itemfinder. Then go to the centre of the cerulean gym where there is a square type water is held. Surf in the water until you get the machine part. I know it would take time but believe me you will get there only.
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In misty's gym look in the box looking pool swim and keep pressing A.
Once you're in the Kanto region, go up the Nugget Bridge and go to Bill's House, just north of Cerulean City. There, Misty will be dating a strange man. Misty will then return to the Gym where you can battle her.
You can find Misty in Pokémon Crystal in Kanto Region. You will find her north of Cerulean City where she is with the man she is dating.
To battle Misty, after you have solved the Power Plant crisis, head north to Route 25 to interrupt her date. She'll be furious, but will accept your challenge. Then head back to Cerulean City to battle her.
there no Pokemon episode when misty meet dawn