Was Jesus descended from Nathan or Solomon?

In Matthew's Gospel, Jesus was a descendant of Solomon, son of David, through the male line from his father Joseph.

In Luke's Gospel, Jesus was a descendant of Nathan, also a son of David, through the male line from his father Joseph.

Looking carefully at the two different accounts, we can see that Jesus was also the descendant of the great Zorobabel, son of Salathiel, but Matthew says that Zorobabel's grandfather was Jechonias, while Luke says that Zorobabel's grandfather was Neri. In other Words, neither author knew. They were both writing Christian midrash.