Finding the Third Proportional to 501,564 and 777,496

Step by Step Solution

1. Step 1: Write the proportion equation
   501,564 : 777,496 = 777,496 : x
2. Step 2: Convert to fraction form
   501,564/777,496 = 777,496/x
3. Step 3: Cross multiply
   501,564x = 777,496 × 777,496
4. Step 4: Simplify right side
   501,564x = 604,500,030,016
5. Step 5: Solve for x
   x = 604,500,030,016/501,564
6. Step 6: Final answer
   x = 1,205,230.10