Finding the Third Proportional to 271,269 and 413,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,269 : 413,221.50 = 413,221.50 : x
2. Step 2: Convert to fraction form
   271,269/413,221.50 = 413,221.50/x
3. Step 3: Cross multiply
   271,269x = 413,221.50 × 413,221.50
4. Step 4: Simplify right side
   271,269x = 170,752,008,062.25
5. Step 5: Solve for x
   x = 170,752,008,062.25/271,269
6. Step 6: Final answer
   x = 629,456.40