Finding the Third Proportional to 145,159.50 and 200,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,159.50 : 200,584.50 = 200,584.50 : x
2. Step 2: Convert to fraction form
   145,159.50/200,584.50 = 200,584.50/x
3. Step 3: Cross multiply
   145,159.50x = 200,584.50 × 200,584.50
4. Step 4: Simplify right side
   145,159.50x = 40,234,141,640.25
5. Step 5: Solve for x
   x = 40,234,141,640.25/145,159.50
6. Step 6: Final answer
   x = 277,171.95