Finding the Third Proportional to 206,586 and 318,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,586 : 318,991.50 = 318,991.50 : x
2. Step 2: Convert to fraction form
   206,586/318,991.50 = 318,991.50/x
3. Step 3: Cross multiply
   206,586x = 318,991.50 × 318,991.50
4. Step 4: Simplify right side
   206,586x = 101,755,577,072.25
5. Step 5: Solve for x
   x = 101,755,577,072.25/206,586
6. Step 6: Final answer
   x = 492,557.95