Finding the Third Proportional to 261,042 and 415,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,042 : 415,371.50 = 415,371.50 : x
2. Step 2: Convert to fraction form
   261,042/415,371.50 = 415,371.50/x
3. Step 3: Cross multiply
   261,042x = 415,371.50 × 415,371.50
4. Step 4: Simplify right side
   261,042x = 172,533,483,012.25
5. Step 5: Solve for x
   x = 172,533,483,012.25/261,042
6. Step 6: Final answer
   x = 660,941.47