Finding the Third Proportional to 142,726.50 and 199,550.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,726.50 : 199,550.25 = 199,550.25 : x
2. Step 2: Convert to fraction form
   142,726.50/199,550.25 = 199,550.25/x
3. Step 3: Cross multiply
   142,726.50x = 199,550.25 × 199,550.25
4. Step 4: Simplify right side
   142,726.50x = 39,820,302,275.06
5. Step 5: Solve for x
   x = 39,820,302,275.06/142,726.50
6. Step 6: Final answer
   x = 278,997.26