Finding the Third Proportional to 276,828 and 427,510

Step by Step Solution

1. Step 1: Write the proportion equation
   276,828 : 427,510 = 427,510 : x
2. Step 2: Convert to fraction form
   276,828/427,510 = 427,510/x
3. Step 3: Cross multiply
   276,828x = 427,510 × 427,510
4. Step 4: Simplify right side
   276,828x = 182,764,800,100
5. Step 5: Solve for x
   x = 182,764,800,100/276,828
6. Step 6: Final answer
   x = 660,210.67