Finding the Third Proportional to 271,919 and 413,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,919 : 413,635.50 = 413,635.50 : x
2. Step 2: Convert to fraction form
   271,919/413,635.50 = 413,635.50/x
3. Step 3: Cross multiply
   271,919x = 413,635.50 × 413,635.50
4. Step 4: Simplify right side
   271,919x = 171,094,326,860.25
5. Step 5: Solve for x
   x = 171,094,326,860.25/271,919
6. Step 6: Final answer
   x = 629,210.64