Finding the Third Proportional to 1,256,256 and 2,761,344

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256,256 : 2,761,344 = 2,761,344 : x
2. Step 2: Convert to fraction form
   1,256,256/2,761,344 = 2,761,344/x
3. Step 3: Cross multiply
   1,256,256x = 2,761,344 × 2,761,344
4. Step 4: Simplify right side
   1,256,256x = 7,625,020,686,336
5. Step 5: Solve for x
   x = 7,625,020,686,336/1,256,256
6. Step 6: Final answer
   x = 6,069,639.22