Answer: In the second petition (which is, Thy kingdom come₁), acknowledging ourselves and all mankind to be by nature under the dominion of sin and Satan₂, we pray, that the kingdom of sin and Satan may be destroyed₃, the gospel propagated throughout the world₄, the Jews called₅, the fulness of the Gentiles brought in₆; the church furnished with all gospel officers and ordinances₇, purged from corruption₈, countenanced and maintained by the civil magistrate₉; that the ordinances of Christ may be purely dispensed, and made effectual to the converting of those that are yet in their sins, and the confirming, comforting, and building up of those that are already converted₁₀; that Christ would rule in our hearts here₁₁, and hasten the time of his second coming, and our reigning with him forever₁₂; and that he would be pleased so to exercise the kingdom of his power in all the world, as may best conduce to these ends₁₃.

1. Matt 6:10
2. Eph 2:2-3
3. Psalm 68:1,18; Rev 12:10-11
4. 2 Thess 3:1
5. Romans 10:1
6. John 17:9,20; Romans 11:25-26; Psalm 67
7. Matt 9:38; 2 Thess 3:1
8. Mal 1:11; Zeph 3:9
9. 1 Tim 2:1-2
10. Acts 4:29-30; Eph 6:18-20; Romans 15:29-30,32; 2 Thes 1:11; 2 Thes 2:16-17
11. Eph 3:14-20
12. Rev 22:20
13. Isa 64:1-2; Rev 4:8-11

For further study see:

1. WSC 102: What do we pray for in the second petition?