Finding the Third Proportional to 142,288 and 206,087

Step by Step Solution

1. Step 1: Write the proportion equation
   142,288 : 206,087 = 206,087 : x
2. Step 2: Convert to fraction form
   142,288/206,087 = 206,087/x
3. Step 3: Cross multiply
   142,288x = 206,087 × 206,087
4. Step 4: Simplify right side
   142,288x = 42,471,851,569
5. Step 5: Solve for x
   x = 42,471,851,569/142,288
6. Step 6: Final answer
   x = 298,492.15