Finding the Third Proportional to 501,250 and 777,323

Step by Step Solution

1. Step 1: Write the proportion equation
   501,250 : 777,323 = 777,323 : x
2. Step 2: Convert to fraction form
   501,250/777,323 = 777,323/x
3. Step 3: Cross multiply
   501,250x = 777,323 × 777,323
4. Step 4: Simplify right side
   501,250x = 604,231,046,329
5. Step 5: Solve for x
   x = 604,231,046,329/501,250
6. Step 6: Final answer
   x = 1,205,448.47