Jesus reconciled us to God through His atoning blood. Reconciliation is a change in relationship, from hostility to harmony, from anger to peace. We cannot be reconciled by our own righteousness, but only through the Righteousness of Jesus Christ. Jesus loved me and reconciled me back to God by giving Himself for on Calvary's Cross. God reached out to sinners through His Son's atoning blood (Romans 5:8-9). Only Jesus could propitiate (appease) God's wrath and still be consistent with God's holiness. God made Jesus to be Sin on our behalf. The Lamb of God who knew no sin became Sin for us, so that we could become the Righteousness of God in Jesus Christ. God treated Jesus as if He had committed every sin ever committed by every sinner. God was in Christ on the Cross, Jesus was the spotless Lamb of God, Jesus never sinned, but God laid on Jesus the iniquity of us all.
God punished Jesus for my sin, and then God turns around and gives me free forgiveness for Jesus' sake. Jesus took all the wrath of God upon Himself, so that a godless wretch like me could be saved and made whiter than snow. On the Cross our sins and God's divine wrath were focused on Christ Jesus. Our sins were poured over His purity, wave after wave. Jesus did this willingly. My sin debt He paid, my death He died, so I could be saved freely and live forever with Him in glory. Jesus took all the blame for my sins. Only through His sinless suffering I am made free. You can't get yourself to Heaven; you must cast away your own righteousness once and for all.
On the Cross God the Father treated Jesus as if He had lived out our lives with all our sins, so that God could then treat us as if we lived Christ's life in pure holiness. All of our sins were credited to Jesus that day, and all of His Righteousness was credited to us the moment we believed on His name. Our wicked life was legally charged to Jesus on the Cross as if he had lived it, and now His Righteous life with all its merits can be credited to our souls, as if we had lived out His life. That's the Bible truth of Justification by Imputation through His Propitiation (Romans 3:23-25; II Corinthians 5:19-21). By grace for Jesus' sake, God puts your sins on Christ's account, and Christ's goodness on your account. The only cure for your sin plague is the Precious Blood that flowed from the veins of Jesus Christ, The Great Propitiator.