Finding the Third Proportional to 510,826 and 1,036,244

Step by Step Solution

1. Step 1: Write the proportion equation
   510,826 : 1,036,244 = 1,036,244 : x
2. Step 2: Convert to fraction form
   510,826/1,036,244 = 1,036,244/x
3. Step 3: Cross multiply
   510,826x = 1,036,244 × 1,036,244
4. Step 4: Simplify right side
   510,826x = 1,073,801,627,536
5. Step 5: Solve for x
   x = 1,073,801,627,536/510,826
6. Step 6: Final answer
   x = 2,102,088.83