Finding the Third Proportional to 271,899 and 413,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,899 : 413,608.50 = 413,608.50 : x
2. Step 2: Convert to fraction form
   271,899/413,608.50 = 413,608.50/x
3. Step 3: Cross multiply
   271,899x = 413,608.50 × 413,608.50
4. Step 4: Simplify right side
   271,899x = 171,071,991,272.25
5. Step 5: Solve for x
   x = 171,071,991,272.25/271,899
6. Step 6: Final answer
   x = 629,174.77