Finding the Third Proportional to 261,888 and 400,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,888 : 400,441.50 = 400,441.50 : x
2. Step 2: Convert to fraction form
   261,888/400,441.50 = 400,441.50/x
3. Step 3: Cross multiply
   261,888x = 400,441.50 × 400,441.50
4. Step 4: Simplify right side
   261,888x = 160,353,394,922.25
5. Step 5: Solve for x
   x = 160,353,394,922.25/261,888
6. Step 6: Final answer
   x = 612,297.60