Finding the Third Proportional to 261,840 and 400,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,840 : 400,375.50 = 400,375.50 : x
2. Step 2: Convert to fraction form
   261,840/400,375.50 = 400,375.50/x
3. Step 3: Cross multiply
   261,840x = 400,375.50 × 400,375.50
4. Step 4: Simplify right side
   261,840x = 160,300,541,000.25
5. Step 5: Solve for x
   x = 160,300,541,000.25/261,840
6. Step 6: Final answer
   x = 612,207.99