Finding the Third Proportional to 581,584 and 1,252,256

Step by Step Solution

1. Step 1: Write the proportion equation
   581,584 : 1,252,256 = 1,252,256 : x
2. Step 2: Convert to fraction form
   581,584/1,252,256 = 1,252,256/x
3. Step 3: Cross multiply
   581,584x = 1,252,256 × 1,252,256
4. Step 4: Simplify right side
   581,584x = 1,568,145,089,536
5. Step 5: Solve for x
   x = 1,568,145,089,536/581,584
6. Step 6: Final answer
   x = 2,696,334.65