Finding the Third Proportional to 105,724 and 155,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,724 : 155,665.50 = 155,665.50 : x
2. Step 2: Convert to fraction form
   105,724/155,665.50 = 155,665.50/x
3. Step 3: Cross multiply
   105,724x = 155,665.50 × 155,665.50
4. Step 4: Simplify right side
   105,724x = 24,231,747,890.25
5. Step 5: Solve for x
   x = 24,231,747,890.25/105,724
6. Step 6: Final answer
   x = 229,198.18