Finding the Third Proportional to 334,678 and 509,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,678 : 509,860.50 = 509,860.50 : x
2. Step 2: Convert to fraction form
   334,678/509,860.50 = 509,860.50/x
3. Step 3: Cross multiply
   334,678x = 509,860.50 × 509,860.50
4. Step 4: Simplify right side
   334,678x = 259,957,729,460.25
5. Step 5: Solve for x
   x = 259,957,729,460.25/334,678
6. Step 6: Final answer
   x = 776,739.82