Finding the Third Proportional to 503,401.50 and 777,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,401.50 : 777,721.50 = 777,721.50 : x
2. Step 2: Convert to fraction form
   503,401.50/777,721.50 = 777,721.50/x
3. Step 3: Cross multiply
   503,401.50x = 777,721.50 × 777,721.50
4. Step 4: Simplify right side
   503,401.50x = 604,850,731,562.25
5. Step 5: Solve for x
   x = 604,850,731,562.25/503,401.50
6. Step 6: Final answer
   x = 1,201,527.47