Finding the Third Proportional to 271,557 and 411,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,557 : 411,709.50 = 411,709.50 : x
2. Step 2: Convert to fraction form
   271,557/411,709.50 = 411,709.50/x
3. Step 3: Cross multiply
   271,557x = 411,709.50 × 411,709.50
4. Step 4: Simplify right side
   271,557x = 169,504,712,390.25
5. Step 5: Solve for x
   x = 169,504,712,390.25/271,557
6. Step 6: Final answer
   x = 624,195.70