Square between circles

Geometry Level 4

Given the circle with center at \(L\), \(MRST\) quadrilateral with vertices on the circle \(L\), and a circle \(O\) inscribed in the quadrilateral, such that

\[ \overline { RM } =17, \ \overline { MT } =19, \ \overline { TS } = 23 \]

What is the value of \( \overline{RT} \times \overline{MS} \)?

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