Finding the Third Proportional to 142,284 and 206,082

Step by Step Solution

1. Step 1: Write the proportion equation
   142,284 : 206,082 = 206,082 : x
2. Step 2: Convert to fraction form
   142,284/206,082 = 206,082/x
3. Step 3: Cross multiply
   142,284x = 206,082 × 206,082
4. Step 4: Simplify right side
   142,284x = 42,469,790,724
5. Step 5: Solve for x
   x = 42,469,790,724/142,284
6. Step 6: Final answer
   x = 298,486.06