Finding the Third Proportional to 142,728 and 187,724

Step by Step Solution

1. Step 1: Write the proportion equation
   142,728 : 187,724 = 187,724 : x
2. Step 2: Convert to fraction form
   142,728/187,724 = 187,724/x
3. Step 3: Cross multiply
   142,728x = 187,724 × 187,724
4. Step 4: Simplify right side
   142,728x = 35,240,300,176
5. Step 5: Solve for x
   x = 35,240,300,176/142,728
6. Step 6: Final answer
   x = 246,905.30