$username = "username"
$password = "password"
$startWithElevatedRights = "notepad"

$credentials = New-Object System.Management.Automation.PSCredential -ArgumentList @($username,(ConvertTo-SecureString -String $password -AsPlainText -Force))
Start-Process powershell -Credential $credentials -ArgumentList '-noprofile -command &{Start-Process ‘,  $startWithElevatedRights, ‘ -Wait -verb runas}'

$username = "username"
$password = "password"
$startWithElevatedRights = "notepad"

$credentials = New-Object System.Management.Automation.PSCredential -ArgumentList @($username,(ConvertTo-SecureString -String $password -AsPlainText -Force))
$ps = Start-Process -PassThru -FilePath powershell -Credential $credentials -ArgumentList '-noprofile -command &{Start-Process ',  $startWithElevatedRights, ' -Wait -verb runas}'

$ps.WaitForExit()