Finding the Third Proportional to 1,265,826 and 2,769,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265,826 : 2,769,216 = 2,769,216 : x
2. Step 2: Convert to fraction form
   1,265,826/2,769,216 = 2,769,216/x
3. Step 3: Cross multiply
   1,265,826x = 2,769,216 × 2,769,216
4. Step 4: Simplify right side
   1,265,826x = 7,668,557,254,656
5. Step 5: Solve for x
   x = 7,668,557,254,656/1,265,826
6. Step 6: Final answer
   x = 6,058,144.84