Finding the Third Proportional to 261,040 and 415,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,040 : 415,368.50 = 415,368.50 : x
2. Step 2: Convert to fraction form
   261,040/415,368.50 = 415,368.50/x
3. Step 3: Cross multiply
   261,040x = 415,368.50 × 415,368.50
4. Step 4: Simplify right side
   261,040x = 172,530,990,792.25
5. Step 5: Solve for x
   x = 172,530,990,792.25/261,040
6. Step 6: Final answer
   x = 660,936.99