Finding the Third Proportional to 510,812 and 1,036,216

Step by Step Solution

1. Step 1: Write the proportion equation
   510,812 : 1,036,216 = 1,036,216 : x
2. Step 2: Convert to fraction form
   510,812/1,036,216 = 1,036,216/x
3. Step 3: Cross multiply
   510,812x = 1,036,216 × 1,036,216
4. Step 4: Simplify right side
   510,812x = 1,073,743,598,656
5. Step 5: Solve for x
   x = 1,073,743,598,656/510,812
6. Step 6: Final answer
   x = 2,102,032.84