Finding the Third Proportional to 261,531.50 and 404,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,531.50 : 404,126.50 = 404,126.50 : x
2. Step 2: Convert to fraction form
   261,531.50/404,126.50 = 404,126.50/x
3. Step 3: Cross multiply
   261,531.50x = 404,126.50 × 404,126.50
4. Step 4: Simplify right side
   261,531.50x = 163,318,228,002.25
5. Step 5: Solve for x
   x = 163,318,228,002.25/261,531.50
6. Step 6: Final answer
   x = 624,468.67