Finding the Third Proportional to 150,702 and 205,229.75

Step by Step Solution

1. Step 1: Write the proportion equation
   150,702 : 205,229.75 = 205,229.75 : x
2. Step 2: Convert to fraction form
   150,702/205,229.75 = 205,229.75/x
3. Step 3: Cross multiply
   150,702x = 205,229.75 × 205,229.75
4. Step 4: Simplify right side
   150,702x = 42,119,250,285.06
5. Step 5: Solve for x
   x = 42,119,250,285.06/150,702
6. Step 6: Final answer
   x = 279,487.00