Finding the Third Proportional to 206,598 and 315,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,598 : 315,833.50 = 315,833.50 : x
2. Step 2: Convert to fraction form
   206,598/315,833.50 = 315,833.50/x
3. Step 3: Cross multiply
   206,598x = 315,833.50 × 315,833.50
4. Step 4: Simplify right side
   206,598x = 99,750,799,722.25
5. Step 5: Solve for x
   x = 99,750,799,722.25/206,598
6. Step 6: Final answer
   x = 482,825.58