
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In order to accelerate the digitalization of urban construction, a city plans to build a new batch of smart charging piles. In the first month, $302$ charging piles were built, and in the third month, $503$ charging piles were built. Let $x$ be the monthly average growth rate of the number of smart charging piles built in the city. According to the question, write down the equation _______. (Do not need to be converted to general form)

Present the answer in LaTex format: \boxed{Your answer}
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