Finding the Third Proportional to 261,039.50 and 415,368

Step by Step Solution

1. Step 1: Write the proportion equation
   261,039.50 : 415,368 = 415,368 : x
2. Step 2: Convert to fraction form
   261,039.50/415,368 = 415,368/x
3. Step 3: Cross multiply
   261,039.50x = 415,368 × 415,368
4. Step 4: Simplify right side
   261,039.50x = 172,530,575,424
5. Step 5: Solve for x
   x = 172,530,575,424/261,039.50
6. Step 6: Final answer
   x = 660,936.66