Finding the Third Proportional to 822,123 and 1,793,649

Step by Step Solution

1. Step 1: Write the proportion equation
   822,123 : 1,793,649 = 1,793,649 : x
2. Step 2: Convert to fraction form
   822,123/1,793,649 = 1,793,649/x
3. Step 3: Cross multiply
   822,123x = 1,793,649 × 1,793,649
4. Step 4: Simplify right side
   822,123x = 3,217,176,735,201
5. Step 5: Solve for x
   x = 3,217,176,735,201/822,123
6. Step 6: Final answer
   x = 3,913,254.75