Finding the Third Proportional to 142,566.38 and 199,317.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,566.38 : 199,317.38 = 199,317.38 : x
2. Step 2: Convert to fraction form
   142,566.38/199,317.38 = 199,317.38/x
3. Step 3: Cross multiply
   142,566.38x = 199,317.38 × 199,317.38
4. Step 4: Simplify right side
   142,566.38x = 39,727,415,976.89
5. Step 5: Solve for x
   x = 39,727,415,976.89/142,566.38
6. Step 6: Final answer
   x = 278,659.09