Finding the Third Proportional to 206,958 and 320,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,958 : 320,461.50 = 320,461.50 : x
2. Step 2: Convert to fraction form
   206,958/320,461.50 = 320,461.50/x
3. Step 3: Cross multiply
   206,958x = 320,461.50 × 320,461.50
4. Step 4: Simplify right side
   206,958x = 102,695,572,982.25
5. Step 5: Solve for x
   x = 102,695,572,982.25/206,958
6. Step 6: Final answer
   x = 496,214.56