Finding the Third Proportional to 510,836 and 1,036,256

Step by Step Solution

1. Step 1: Write the proportion equation
   510,836 : 1,036,256 = 1,036,256 : x
2. Step 2: Convert to fraction form
   510,836/1,036,256 = 1,036,256/x
3. Step 3: Cross multiply
   510,836x = 1,036,256 × 1,036,256
4. Step 4: Simplify right side
   510,836x = 1,073,826,497,536
5. Step 5: Solve for x
   x = 1,073,826,497,536/510,836
6. Step 6: Final answer
   x = 2,102,096.36