Finding the Third Proportional to 501,524 and 776,892

Step by Step Solution

1. Step 1: Write the proportion equation
   501,524 : 776,892 = 776,892 : x
2. Step 2: Convert to fraction form
   501,524/776,892 = 776,892/x
3. Step 3: Cross multiply
   501,524x = 776,892 × 776,892
4. Step 4: Simplify right side
   501,524x = 603,561,179,664
5. Step 5: Solve for x
   x = 603,561,179,664/501,524
6. Step 6: Final answer
   x = 1,203,454.23