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If powering the Arduino (Mega) through the USB port, is a voltage of 5.19VDC acceptable?

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Yes, the ATMEGA328 processor will work without any problem, in fact if you go in the power informations section on the datasheet, you will find that the processor can run from a little less of 3V to a maximum of 5.5V.

Just be careful, because the processor works at that power, but the board will need from 5 to 5.5V.

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That's the approximate expected voltage. The Arduino devices are typically powered at 5V, but the chips themselves are rated to work at values lower and higher than 5V.

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The 5.19V you see, I guess you expect 5.00V, is a combination of power supply tolerance and the tolerance of your voltmeter.

Your voltmeter also has some error, we tend to forget that sometimes.

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