Finding the Third Proportional to 146,571 and 219,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,571 : 219,760.50 = 219,760.50 : x
2. Step 2: Convert to fraction form
   146,571/219,760.50 = 219,760.50/x
3. Step 3: Cross multiply
   146,571x = 219,760.50 × 219,760.50
4. Step 4: Simplify right side
   146,571x = 48,294,677,360.25
5. Step 5: Solve for x
   x = 48,294,677,360.25/146,571
6. Step 6: Final answer
   x = 329,496.81