Finding the Third Proportional to 142,287 and 206,085

Step by Step Solution

1. Step 1: Write the proportion equation
   142,287 : 206,085 = 206,085 : x
2. Step 2: Convert to fraction form
   142,287/206,085 = 206,085/x
3. Step 3: Cross multiply
   142,287x = 206,085 × 206,085
4. Step 4: Simplify right side
   142,287x = 42,471,027,225
5. Step 5: Solve for x
   x = 42,471,027,225/142,287
6. Step 6: Final answer
   x = 298,488.46