Finding the Third Proportional to 271,881 and 413,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,881 : 413,581.50 = 413,581.50 : x
2. Step 2: Convert to fraction form
   271,881/413,581.50 = 413,581.50/x
3. Step 3: Cross multiply
   271,881x = 413,581.50 × 413,581.50
4. Step 4: Simplify right side
   271,881x = 171,049,657,142.25
5. Step 5: Solve for x
   x = 171,049,657,142.25/271,881
6. Step 6: Final answer
   x = 629,134.28