Finding the Third Proportional to 150,684 and 227,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,684 : 227,968.50 = 227,968.50 : x
2. Step 2: Convert to fraction form
   150,684/227,968.50 = 227,968.50/x
3. Step 3: Cross multiply
   150,684x = 227,968.50 × 227,968.50
4. Step 4: Simplify right side
   150,684x = 51,969,636,992.25
5. Step 5: Solve for x
   x = 51,969,636,992.25/150,684
6. Step 6: Final answer
   x = 344,891.54