Finding the Third Proportional to 105,728 and 155,670

Step by Step Solution

1. Step 1: Write the proportion equation
   105,728 : 155,670 = 155,670 : x
2. Step 2: Convert to fraction form
   105,728/155,670 = 155,670/x
3. Step 3: Cross multiply
   105,728x = 155,670 × 155,670
4. Step 4: Simplify right side
   105,728x = 24,233,148,900
5. Step 5: Solve for x
   x = 24,233,148,900/105,728
6. Step 6: Final answer
   x = 229,202.76