Finding the Third Proportional to 360,036 and 777,834

Step by Step Solution

1. Step 1: Write the proportion equation
   360,036 : 777,834 = 777,834 : x
2. Step 2: Convert to fraction form
   360,036/777,834 = 777,834/x
3. Step 3: Cross multiply
   360,036x = 777,834 × 777,834
4. Step 4: Simplify right side
   360,036x = 605,025,731,556
5. Step 5: Solve for x
   x = 605,025,731,556/360,036
6. Step 6: Final answer
   x = 1,680,458.99