Finding the Third Proportional to 822,098 and 1,783,948

Step by Step Solution

1. Step 1: Write the proportion equation
   822,098 : 1,783,948 = 1,783,948 : x
2. Step 2: Convert to fraction form
   822,098/1,783,948 = 1,783,948/x
3. Step 3: Cross multiply
   822,098x = 1,783,948 × 1,783,948
4. Step 4: Simplify right side
   822,098x = 3,182,470,466,704
5. Step 5: Solve for x
   x = 3,182,470,466,704/822,098
6. Step 6: Final answer
   x = 3,871,157.05