Finding the Third Proportional to 580,864 and 1,258,256

Step by Step Solution

1. Step 1: Write the proportion equation
   580,864 : 1,258,256 = 1,258,256 : x
2. Step 2: Convert to fraction form
   580,864/1,258,256 = 1,258,256/x
3. Step 3: Cross multiply
   580,864x = 1,258,256 × 1,258,256
4. Step 4: Simplify right side
   580,864x = 1,583,208,161,536
5. Step 5: Solve for x
   x = 1,583,208,161,536/580,864
6. Step 6: Final answer
   x = 2,725,609.03