My App is a small but growing start$-$up that sees demand for several of its apps increasing quickly. The table below shows the last six months of downloads. Use a forecast for the first month of $210,000,$ an initial trend forecast of $35,000,$ and smoothing parameters of $0\mathrm{.}05$ for both demand smoothing and trend smoothing.

Complete the table below, filling in the "Forecast for next month" and "Trend" columns, using double exponential smoothing.

Note: Round your answers to $2$ decimal places.

$$

month

monthly application downloads

forecast for next month

Trend

$$

$$

$210,000\mathrm{.}00$

$35,000\mathrm{.}00$

$1$

$245,000\mathrm{.}00$

$$

$$

$2$

$250,100\mathrm{.}00$

$$

$$

$3$

$333,000\mathrm{.}00$

$$

$$

$4$

$420,000\mathrm{.}00$

$$

$$

$5$

$450,000\mathrm{.}00$

$$

$$

$6$

$491,000\mathrm{.}00$

$$

$$

$$

Month $7\text{'}$s forecast is:

Note: Round your answer to $2$ decimal places.