Finding the Third Proportional to 501,336 and 776,661

Step by Step Solution

1. Step 1: Write the proportion equation
   501,336 : 776,661 = 776,661 : x
2. Step 2: Convert to fraction form
   501,336/776,661 = 776,661/x
3. Step 3: Cross multiply
   501,336x = 776,661 × 776,661
4. Step 4: Simplify right side
   501,336x = 603,202,308,921
5. Step 5: Solve for x
   x = 603,202,308,921/501,336
6. Step 6: Final answer
   x = 1,203,189.69