Finding the Third Proportional to 501,398 and 776,751

Step by Step Solution

1. Step 1: Write the proportion equation
   501,398 : 776,751 = 776,751 : x
2. Step 2: Convert to fraction form
   501,398/776,751 = 776,751/x
3. Step 3: Cross multiply
   501,398x = 776,751 × 776,751
4. Step 4: Simplify right side
   501,398x = 603,342,116,001
5. Step 5: Solve for x
   x = 603,342,116,001/501,398
6. Step 6: Final answer
   x = 1,203,319.75