After eating a hearty meal they went to see the Buckingham palace. There, Rachel learned that 92 visitors came to the Buckingham palace that day. If there were 419 visitors the previous day and 103 visitors the day before that how many visited the Buckingham palace before that day?
The number of visitors to the Buckingham Palace on each day can be represented by the equation: 

y = 419x^2 + 92x + 103

To find the number of visitors two days before, we would plug in -2 for x. This would give us the equation: 

y = 419(-2)^2 + 92(-2) + 103

y = 419(4) + 92(-2) + 103

y = 1676 - 184 + 103

y = 1695

Therefore, the answer is: 

1695