Finding the Third Proportional to 206,922 and 316,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,922 : 316,399.50 = 316,399.50 : x
2. Step 2: Convert to fraction form
   206,922/316,399.50 = 316,399.50/x
3. Step 3: Cross multiply
   206,922x = 316,399.50 × 316,399.50
4. Step 4: Simplify right side
   206,922x = 100,108,643,600.25
5. Step 5: Solve for x
   x = 100,108,643,600.25/206,922
6. Step 6: Final answer
   x = 483,798.94