Finding the Third Proportional to 142,724 and 218,665

Step by Step Solution

1. Step 1: Write the proportion equation
   142,724 : 218,665 = 218,665 : x
2. Step 2: Convert to fraction form
   142,724/218,665 = 218,665/x
3. Step 3: Cross multiply
   142,724x = 218,665 × 218,665
4. Step 4: Simplify right side
   142,724x = 47,814,382,225
5. Step 5: Solve for x
   x = 47,814,382,225/142,724
6. Step 6: Final answer
   x = 335,012.91