Finding the Third Proportional to 261,544.50 and 404,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   261,544.50 : 404,147.25 = 404,147.25 : x
2. Step 2: Convert to fraction form
   261,544.50/404,147.25 = 404,147.25/x
3. Step 3: Cross multiply
   261,544.50x = 404,147.25 × 404,147.25
4. Step 4: Simplify right side
   261,544.50x = 163,334,999,682.56
5. Step 5: Solve for x
   x = 163,334,999,682.56/261,544.50
6. Step 6: Final answer
   x = 624,501.76