Finding the Third Proportional to 142,298 and 206,099

Step by Step Solution

1. Step 1: Write the proportion equation
   142,298 : 206,099 = 206,099 : x
2. Step 2: Convert to fraction form
   142,298/206,099 = 206,099/x
3. Step 3: Cross multiply
   142,298x = 206,099 × 206,099
4. Step 4: Simplify right side
   142,298x = 42,476,797,801
5. Step 5: Solve for x
   x = 42,476,797,801/142,298
6. Step 6: Final answer
   x = 298,505.94