Finding the Third Proportional to 582,256 and 1,258,006

Step by Step Solution

1. Step 1: Write the proportion equation
   582,256 : 1,258,006 = 1,258,006 : x
2. Step 2: Convert to fraction form
   582,256/1,258,006 = 1,258,006/x
3. Step 3: Cross multiply
   582,256x = 1,258,006 × 1,258,006
4. Step 4: Simplify right side
   582,256x = 1,582,579,096,036
5. Step 5: Solve for x
   x = 1,582,579,096,036/582,256
6. Step 6: Final answer
   x = 2,718,012.52