Finding the Third Proportional to 580,036 and 816,834

Step by Step Solution

1. Step 1: Write the proportion equation
   580,036 : 816,834 = 816,834 : x
2. Step 2: Convert to fraction form
   580,036/816,834 = 816,834/x
3. Step 3: Cross multiply
   580,036x = 816,834 × 816,834
4. Step 4: Simplify right side
   580,036x = 667,217,783,556
5. Step 5: Solve for x
   x = 667,217,783,556/580,036
6. Step 6: Final answer
   x = 1,150,304.09