Finding the Third Proportional to 681,897 and 1,022,846

Step by Step Solution

1. Step 1: Write the proportion equation
   681,897 : 1,022,846 = 1,022,846 : x
2. Step 2: Convert to fraction form
   681,897/1,022,846 = 1,022,846/x
3. Step 3: Cross multiply
   681,897x = 1,022,846 × 1,022,846
4. Step 4: Simplify right side
   681,897x = 1,046,213,939,716
5. Step 5: Solve for x
   x = 1,046,213,939,716/681,897
6. Step 6: Final answer
   x = 1,534,269.75