Finding the Third Proportional to 681,876 and 1,022,814

Step by Step Solution

1. Step 1: Write the proportion equation
   681,876 : 1,022,814 = 1,022,814 : x
2. Step 2: Convert to fraction form
   681,876/1,022,814 = 1,022,814/x
3. Step 3: Cross multiply
   681,876x = 1,022,814 × 1,022,814
4. Step 4: Simplify right side
   681,876x = 1,046,148,478,596
5. Step 5: Solve for x
   x = 1,046,148,478,596/681,876
6. Step 6: Final answer
   x = 1,534,221