Finding the Third Proportional to 271,809 and 419,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,809 : 419,593.50 = 419,593.50 : x
2. Step 2: Convert to fraction form
   271,809/419,593.50 = 419,593.50/x
3. Step 3: Cross multiply
   271,809x = 419,593.50 × 419,593.50
4. Step 4: Simplify right side
   271,809x = 176,058,705,242.25
5. Step 5: Solve for x
   x = 176,058,705,242.25/271,809
6. Step 6: Final answer
   x = 647,729.49