Finding the Third Proportional to 271,880 and 414,978

Step by Step Solution

1. Step 1: Write the proportion equation
   271,880 : 414,978 = 414,978 : x
2. Step 2: Convert to fraction form
   271,880/414,978 = 414,978/x
3. Step 3: Cross multiply
   271,880x = 414,978 × 414,978
4. Step 4: Simplify right side
   271,880x = 172,206,740,484
5. Step 5: Solve for x
   x = 172,206,740,484/271,880
6. Step 6: Final answer
   x = 633,392.45