+2% to all attack and defense, Complete Quests and Adventures 3% Faster, Quests, Adventures and Player to Player produce 3% more Silver, Permanent Seems like stone, but is oddly warm to the touch
So far, you only had to have a great deal of stamina to repeat the same Adventures hundreds of times to get the materials, now you also need a great deal of luck. Because you did not prepare for the quickening, you only prepared for a chance of it, and that chance is very slim (probably around 1%).
You need to take the materials to the Alchemists' Guild, including the Dormant Dragon Egg which has to be unequipped before the crafting. After a long and expensive crafting, if you are terribly lucky, you may end up with a Live Dragon Egg, which has slightly better stats than the Dormant One.
It may take hundreds of attempts (including hundreds of Offerings to make) or just a few. It is intentionally extremely difficult, because there are only places for very few dragons in Westeros.
+7% to all attacks, +7% to all defense, Complete Quests and Adventures 7% faster, Quests, Adventures, and Player-to-Player provide 7% more silver, 7% chance for the Sworn Sword to return immediately after death, Permanent Fire made flesh
Once again you need a tremendous amount of luck as you enter your Reliquary, or Dragon Pit with your dragon egg and horn. You will also need 5 Pyres, which are not easy to come by, as you only have a "small chance" (10%?) of crafting it in R'hllor Temple, though you may also get it from a few Challenges.
The "very small chance" to hatch the dragon is probably even less than that of quickening the egg. There is no information on how much, but it is estimated to be below 1% (probably even as small as 0,1%).
However, you can end up with a truly legendary (at least, in the common meaning of the word) companion, which will only be available to the most reckless players.
The "Dragon Project", as some call it, is an extremely long and difficult path, especially if you look it from the perspective at the beginning of the game. However, as you grow, max out your Buildings, equip a horde of Sworn Swords with legendary and peerless Equipment, you may be looking for a greater challenge. This is that challenge.