Finding the Third Proportional to 206,492 and 315,662

Step by Step Solution

1. Step 1: Write the proportion equation
   206,492 : 315,662 = 315,662 : x
2. Step 2: Convert to fraction form
   206,492/315,662 = 315,662/x
3. Step 3: Cross multiply
   206,492x = 315,662 × 315,662
4. Step 4: Simplify right side
   206,492x = 99,642,498,244
5. Step 5: Solve for x
   x = 99,642,498,244/206,492
6. Step 6: Final answer
   x = 482,548.95