Finding the Third Proportional to 681,864 and 1,022,796

Step by Step Solution

1. Step 1: Write the proportion equation
   681,864 : 1,022,796 = 1,022,796 : x
2. Step 2: Convert to fraction form
   681,864/1,022,796 = 1,022,796/x
3. Step 3: Cross multiply
   681,864x = 1,022,796 × 1,022,796
4. Step 4: Simplify right side
   681,864x = 1,046,111,657,616
5. Step 5: Solve for x
   x = 1,046,111,657,616/681,864
6. Step 6: Final answer
   x = 1,534,194