Finding the Third Proportional to 501,356 and 776,684

Step by Step Solution

1. Step 1: Write the proportion equation
   501,356 : 776,684 = 776,684 : x
2. Step 2: Convert to fraction form
   501,356/776,684 = 776,684/x
3. Step 3: Cross multiply
   501,356x = 776,684 × 776,684
4. Step 4: Simplify right side
   501,356x = 603,238,035,856
5. Step 5: Solve for x
   x = 603,238,035,856/501,356
6. Step 6: Final answer
   x = 1,203,212.96