Finding the Third Proportional to 142,274 and 206,067

Step by Step Solution

1. Step 1: Write the proportion equation
   142,274 : 206,067 = 206,067 : x
2. Step 2: Convert to fraction form
   142,274/206,067 = 206,067/x
3. Step 3: Cross multiply
   142,274x = 206,067 × 206,067
4. Step 4: Simplify right side
   142,274x = 42,463,608,489
5. Step 5: Solve for x
   x = 42,463,608,489/142,274
6. Step 6: Final answer
   x = 298,463.59