Finding the Third Proportional to 501,568.50 and 777,504

Step by Step Solution

1. Step 1: Write the proportion equation
   501,568.50 : 777,504 = 777,504 : x
2. Step 2: Convert to fraction form
   501,568.50/777,504 = 777,504/x
3. Step 3: Cross multiply
   501,568.50x = 777,504 × 777,504
4. Step 4: Simplify right side
   501,568.50x = 604,512,470,016
5. Step 5: Solve for x
   x = 604,512,470,016/501,568.50
6. Step 6: Final answer
   x = 1,205,244.09