Finding the Third Proportional to 206,658 and 315,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,658 : 315,913.50 = 315,913.50 : x
2. Step 2: Convert to fraction form
   206,658/315,913.50 = 315,913.50/x
3. Step 3: Cross multiply
   206,658x = 315,913.50 × 315,913.50
4. Step 4: Simplify right side
   206,658x = 99,801,339,482.25
5. Step 5: Solve for x
   x = 99,801,339,482.25/206,658
6. Step 6: Final answer
   x = 482,929.96