Finding the Third Proportional to 102,721.50 and 150,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,721.50 : 150,538.50 = 150,538.50 : x
2. Step 2: Convert to fraction form
   102,721.50/150,538.50 = 150,538.50/x
3. Step 3: Cross multiply
   102,721.50x = 150,538.50 × 150,538.50
4. Step 4: Simplify right side
   102,721.50x = 22,661,839,982.25
5. Step 5: Solve for x
   x = 22,661,839,982.25/102,721.50
6. Step 6: Final answer
   x = 220,614.38