Finding the Third Proportional to 501,401 and 776,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,401 : 776,755.50 = 776,755.50 : x
2. Step 2: Convert to fraction form
   501,401/776,755.50 = 776,755.50/x
3. Step 3: Cross multiply
   501,401x = 776,755.50 × 776,755.50
4. Step 4: Simplify right side
   501,401x = 603,349,106,780.25
5. Step 5: Solve for x
   x = 603,349,106,780.25/501,401
6. Step 6: Final answer
   x = 1,203,326.49