Finding the Third Proportional to 269,613 and 412,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,613 : 412,600.50 = 412,600.50 : x
2. Step 2: Convert to fraction form
   269,613/412,600.50 = 412,600.50/x
3. Step 3: Cross multiply
   269,613x = 412,600.50 × 412,600.50
4. Step 4: Simplify right side
   269,613x = 170,239,172,600.25
5. Step 5: Solve for x
   x = 170,239,172,600.25/269,613
6. Step 6: Final answer
   x = 631,420.49