Finding the Third Proportional to 261,831 and 563,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,831 : 563,743.50 = 563,743.50 : x
2. Step 2: Convert to fraction form
   261,831/563,743.50 = 563,743.50/x
3. Step 3: Cross multiply
   261,831x = 563,743.50 × 563,743.50
4. Step 4: Simplify right side
   261,831x = 317,806,733,792.25
5. Step 5: Solve for x
   x = 317,806,733,792.25/261,831
6. Step 6: Final answer
   x = 1,213,785.74