Finding the Third Proportional to 258,783 and 356,350.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,783 : 356,350.50 = 356,350.50 : x
2. Step 2: Convert to fraction form
   258,783/356,350.50 = 356,350.50/x
3. Step 3: Cross multiply
   258,783x = 356,350.50 × 356,350.50
4. Step 4: Simplify right side
   258,783x = 126,985,678,850.25
5. Step 5: Solve for x
   x = 126,985,678,850.25/258,783
6. Step 6: Final answer
   x = 490,703.33