Finding the Third Proportional to 206,937 and 320,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,937 : 320,539.50 = 320,539.50 : x
2. Step 2: Convert to fraction form
   206,937/320,539.50 = 320,539.50/x
3. Step 3: Cross multiply
   206,937x = 320,539.50 × 320,539.50
4. Step 4: Simplify right side
   206,937x = 102,745,571,060.25
5. Step 5: Solve for x
   x = 102,745,571,060.25/206,937
6. Step 6: Final answer
   x = 496,506.53