Finding the Third Proportional to 276,914 and 414,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,914 : 414,910.50 = 414,910.50 : x
2. Step 2: Convert to fraction form
   276,914/414,910.50 = 414,910.50/x
3. Step 3: Cross multiply
   276,914x = 414,910.50 × 414,910.50
4. Step 4: Simplify right side
   276,914x = 172,150,723,010.25
5. Step 5: Solve for x
   x = 172,150,723,010.25/276,914
6. Step 6: Final answer
   x = 621,675.77