Finding the Third Proportional to 271,008 and 408,510

Step by Step Solution

1. Step 1: Write the proportion equation
   271,008 : 408,510 = 408,510 : x
2. Step 2: Convert to fraction form
   271,008/408,510 = 408,510/x
3. Step 3: Cross multiply
   271,008x = 408,510 × 408,510
4. Step 4: Simplify right side
   271,008x = 166,880,420,100
5. Step 5: Solve for x
   x = 166,880,420,100/271,008
6. Step 6: Final answer
   x = 615,776.73