Finding the Third Proportional to 206,947.50 and 317,256

Step by Step Solution

1. Step 1: Write the proportion equation
   206,947.50 : 317,256 = 317,256 : x
2. Step 2: Convert to fraction form
   206,947.50/317,256 = 317,256/x
3. Step 3: Cross multiply
   206,947.50x = 317,256 × 317,256
4. Step 4: Simplify right side
   206,947.50x = 100,651,369,536
5. Step 5: Solve for x
   x = 100,651,369,536/206,947.50
6. Step 6: Final answer
   x = 486,361.85