Find the sum of the following series. Round to the nearest hundredth if necessary. \[ 2+6+18+\ldots+86093442 \]

Step 1 ：Find the common ratio: \( r = \frac{6}{2} = 3 \)

Step 2 ：Use the formula for the sum of a geometric series: \( S_n = \frac{a_1(r^n - 1)}{r - 1} \)

Step 3 ：Find the number of terms: 2 * 3^{n-1} = 86093442

Step 4 ：Identify the first term and solve for n: 3^{n-1} = 43046721

Step 5 ：Calculate n: n = 22

Step 6 ：Calculate the sum using the formula and n: S_{22} = \frac{2(3^{22} - 1)}{3 - 1}

Step 7 ：Result: S_{22} = 258280326