Finding the Third Proportional to 142,243.50 and 213,743.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,243.50 : 213,743.25 = 213,743.25 : x
2. Step 2: Convert to fraction form
   142,243.50/213,743.25 = 213,743.25/x
3. Step 3: Cross multiply
   142,243.50x = 213,743.25 × 213,743.25
4. Step 4: Simplify right side
   142,243.50x = 45,686,176,920.56
5. Step 5: Solve for x
   x = 45,686,176,920.56/142,243.50
6. Step 6: Final answer
   x = 321,182.88