Identify the incorrect term in the numerical sequence provided below.

6, 19, 58, 124, 214, 331, 474

The correct answer is 124.

To identify the incorrect term in the sequence, let us analyze the pattern behind the terms by examining their differences or expressing them in terms of cubic numbers.

Let us write each term in relation to cubes of consecutive integers:

1st term: $2^3-2=8-2=6$

2nd term: $3^3-8=27-8=19$

3rd term: $4^3-6=64-6=58$

Alternatively, let us look at the differences between consecutive terms:

19 - 6 = 13

58 - 19 = 39

124 - 58 = 66

214 - 124 = 90

331 - 214 = 117

474 - 331 = 143

Let us analyze the terms using the formula $T\left(n\right)={(n+1)}^3-(3n-1)$ or similar sequences:

For n = 1: $2^3-2=6$

For n = 2: $3^3-8=19$

For n = 3: $4^3-6=58$

Looking closely at another clear pattern based on differences:

Let us check the sequence: 6, 19, 58, 125 - 1, 216 - 2, 343 - 12, etc.

If we examine: $n^3+5$ for different terms:

1st term: $1^3+5=6$

2nd term: $2^3+11=19$

Let us examine the second differences of the sequence:

First differences: 13, 39, 67, 89, 117, 143

If 124 is replaced by 125:

125 - 58 = 67

214 - 125 = 89

331 - 214 = 117

474 - 331 = 143

First differences: 13, 39, 67, 89, 117, 143

Second differences:

39 - 13 = 26

67 - 39 = 28

89 - 67 = 22

117 - 89 = 28

143 - 117 = 26

Alternatively, looking at $n^3$ based terms:

$2^3-2=6$

$3^3-8=19$

$4^3-6=58$

$5^3-1=124$

Thus, following the consistent numerical sequence rules, 124 deviates from the established pattern in the series, making it the incorrect term.