Finding the Third Proportional to 276,822 and 415,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,822 : 415,234.50 = 415,234.50 : x
2. Step 2: Convert to fraction form
   276,822/415,234.50 = 415,234.50/x
3. Step 3: Cross multiply
   276,822x = 415,234.50 × 415,234.50
4. Step 4: Simplify right side
   276,822x = 172,419,689,990.25
5. Step 5: Solve for x
   x = 172,419,689,990.25/276,822
6. Step 6: Final answer
   x = 622,854.00