Conditional Formatting to Highlight Blank Cells based on the Date in Another Cell

I have a tracking spreadsheet, and I am looking to highlight cells in column H if the date in column E is more than 182 days in the past only if the cells in column H are blank.
Not sure if I'm explaining this well, so let me give an example based on today's date, 1/25/2022.

182 days before today is July 27, 2021. So, let's say that we have the following information in this table:

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In the above example, I need cell H1 to highlight, but cell H2 should not be highlighted because it isn't blank.

Any help is much appreciated!

Try this in your CF dialogue box, (use a formula. . .)

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Format as desired, mark as SOLVED if all is good.

Pete

Awesome; thank you so much to both of you! I really appreciate your help.
Both solutions work as expected.