Finding the Third Proportional to 500,426 and 776,028

Step by Step Solution

1. Step 1: Write the proportion equation
   500,426 : 776,028 = 776,028 : x
2. Step 2: Convert to fraction form
   500,426/776,028 = 776,028/x
3. Step 3: Cross multiply
   500,426x = 776,028 × 776,028
4. Step 4: Simplify right side
   500,426x = 602,219,456,784
5. Step 5: Solve for x
   x = 602,219,456,784/500,426
6. Step 6: Final answer
   x = 1,203,413.61