Finding the Third Proportional to 142,117.50 and 213,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,117.50 : 213,754.50 = 213,754.50 : x
2. Step 2: Convert to fraction form
   142,117.50/213,754.50 = 213,754.50/x
3. Step 3: Cross multiply
   142,117.50x = 213,754.50 × 213,754.50
4. Step 4: Simplify right side
   142,117.50x = 45,690,986,270.25
5. Step 5: Solve for x
   x = 45,690,986,270.25/142,117.50
6. Step 6: Final answer
   x = 321,501.48