Finding the Third Proportional to 686,736 and 1,010,256

Step by Step Solution

1. Step 1: Write the proportion equation
   686,736 : 1,010,256 = 1,010,256 : x
2. Step 2: Convert to fraction form
   686,736/1,010,256 = 1,010,256/x
3. Step 3: Cross multiply
   686,736x = 1,010,256 × 1,010,256
4. Step 4: Simplify right side
   686,736x = 1,020,617,185,536
5. Step 5: Solve for x
   x = 1,020,617,185,536/686,736
6. Step 6: Final answer
   x = 1,486,185.65