Archduke Franz Karl of Austria
Archduke Franz Karl Joseph of Austria (17 December 1802 – 8 March 1878) was a member of the House of Habsburg-Lorraine.
He was the father of two emperors:
Franz Joseph I of Austria and Maximilian I of Mexico.
Through his third son Karl Ludwig, he was the grandfather of Archduke Franz Ferdinand of Austria – whose assassination sparked the hostilities that led to the outbreak of World War I – and the great-grandfather of the last Habsburg emperor Karl I.
Archduke Joseph Francis of Austria
Josef Franz, Archduke of Austria, Prince of Hungary
(Josef Franz Leopold Anton Ignatius Maria; 28 March 1895 – 25 September 1957), was the eldest son of Archduke Joseph August of Austria and Princess Auguste Maria of Bavaria.
As his father was the last Palatine of Hungary and was briefly considered a possible King of Hungary in 1919–1920, Josef Franz was a potential crown prince of Hungary.
He was born during the reign of his maternal great-grandfather,
Francis Joseph I of Austria, who was also his second cousin once removed on his father's side.
Maria Theresa of Austria-Este (1849–1919)
Maria Theresa of Austria-Este (Maria Theresa Henriette Dorothee; 2 July 1849 – 3 February 1919) was the last Queen of Bavaria.
She was the daughter and only child of Archduke Ferdinand of Austria-Este and his wife, Archduchess Elisabeth of Austria.
Archduke Karl Ludwig of Austria
Archduke Karl Ludwig Joseph Maria of Austria( 30 July
1833 – 19 May 1896) was the younger brother of Franz Joseph I of Austria( 1830 – 1916), the father of Archduke Franz Ferdinand of Austria( 1863 – 1914), whose assassination ignited World War I, and grandfather of the last emperor, Charles I.
Archduke Otto of Austria (1865–1906)
Archduke Otto Franz Joseph Karl Ludwig Maria of Austria (21 April 1865 – 1 November 1906) was the second son of Archduke Karl Ludwig of Austria (younger brother of Emperor Franz Joseph I of Austria) and his second wife, Princess Maria Annunciata of Bourbon-Two Sicilies.
He was the father of Charles I of Austria, the last Emperor of Austria.
Eduard von Habsburg
Eduard von Habsburg( born January 12, 1967), also known as Archduke Eduard of Austria is Hungary ’s ambassador to the Holy See and Sovereign Military Order of Malta.
He is son of Archduke Michael of Austria( Archduke Joseph Francis's youngest child) and the great- great- grandson of Emperor Franz Joseph I.
He is married to Baroness Maria Theresia von Gudenus, descendant of Archduke Johann of Austria and has six children.
Archduchess Elisabeth Franziska of Austria (1892–1930)
Archduchess Elisabeth Franziska Marie Karoline Ignatia Salvator (27 January 1892 – 29 January 1930) was the eldest daughter of Archduke Franz Salvator of Austria and Archduchess Marie Valerie of Austria.
Through her mother, she was a granddaughter of Emperor Franz Joseph I of Austria.
Archduke Géza of Austria
Archduke Géza of Austria (given names: "Géza Ladislaus Euseb Gerhard Rafael Albert Maria"; born 14 November 1939, in Budapest), in Austria and Hungary only known by law as Géza Habsburg-Lothringen, is the son of Archduke Joseph Francis of Austria (1895–1957) and his wife Princess Anna of Saxony (1903–1976); thus, he is a grandson of King Frederick Augustus III of Saxony and great-great-grandson (on his father's mother's side) of Emperor Franz Joseph I of Austria and his wife Elisabeth of Bavaria (Sissi).
Géza is a Fabergé expert and has published many books and articles on the jewellers Peter Carl Fabergé and Victor Mayer.
He is the curator of several major international Fabergé exhibitions.
Habsburg famously coined the term Fauxbergé.
Archduchess Yolande of Austria
Archduchess Yolande of Austria( née Princesse Yolande Marie Jeanne Charlotte de Ligne; born 6 May 1923) is the widow of Archduke Carl Ludwig of Austria.
Charles, Margrave of Burgau
Charles, Margrave of Burgau, also known as" Charles of Austria",( 22 November 1560 at Křivoklát Castle in Bohemia – 30 October 1618 in Überlingen), was the son of Archduke Ferdinand II of Austria and his first morganatic marriage to Philippine Welser.
He was the brother of Andrew of Austria.

Question: Who is the paternal grandfather of Archduke Géza Of Austria?
Answer: Archduke Joseph August of Austria