Finding the Third Proportional to 518,544 and 777,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   518,544 : 777,829.50 = 777,829.50 : x
2. Step 2: Convert to fraction form
   518,544/777,829.50 = 777,829.50/x
3. Step 3: Cross multiply
   518,544x = 777,829.50 × 777,829.50
4. Step 4: Simplify right side
   518,544x = 605,018,731,070.25
5. Step 5: Solve for x
   x = 605,018,731,070.25/518,544
6. Step 6: Final answer
   x = 1,166,764.50