If you examine all dimensions of the Parthenon, you’ll find a variety of numbers and proportions. A floor plan view shows eight columns across the front view and seventeen columns from the side view. Six columns are the inside entry way, with five by ten columns enclosing the large interior temple room. Several interior rooms are found, some with proportions that are close to a golden rectangle, but clearly not exactly a golden rectangle.
If the Greeks had intended the Parthenon to highlight the golden ratio in its design, they could have taken advantage of many more opportunities to do so, or done it with the level of exacting precision in the various places that it seems to appear that is found throughout its design and construction. If, however, the golden ratio was intended to be included among the many numbers and proportions included, then one can find some rather compelling evidence that they applied it, whether through a simple geometry construction below or with the deeper knowledge recorded by Euclid some 150 years later.