Finding the Third Proportional to 261,540 and 404,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,540 : 404,140.50 = 404,140.50 : x
2. Step 2: Convert to fraction form
   261,540/404,140.50 = 404,140.50/x
3. Step 3: Cross multiply
   261,540x = 404,140.50 × 404,140.50
4. Step 4: Simplify right side
   261,540x = 163,329,543,740.25
5. Step 5: Solve for x
   x = 163,329,543,740.25/261,540
6. Step 6: Final answer
   x = 624,491.64