Finding the Third Proportional to 857,764 and 1,261,686

Step by Step Solution

1. Step 1: Write the proportion equation
   857,764 : 1,261,686 = 1,261,686 : x
2. Step 2: Convert to fraction form
   857,764/1,261,686 = 1,261,686/x
3. Step 3: Cross multiply
   857,764x = 1,261,686 × 1,261,686
4. Step 4: Simplify right side
   857,764x = 1,591,851,562,596
5. Step 5: Solve for x
   x = 1,591,851,562,596/857,764
6. Step 6: Final answer
   x = 1,855,815.31