Finding the Third Proportional to 142,096 and 205,287

Step by Step Solution

1. Step 1: Write the proportion equation
   142,096 : 205,287 = 205,287 : x
2. Step 2: Convert to fraction form
   142,096/205,287 = 205,287/x
3. Step 3: Cross multiply
   142,096x = 205,287 × 205,287
4. Step 4: Simplify right side
   142,096x = 42,142,752,369
5. Step 5: Solve for x
   x = 42,142,752,369/142,096
6. Step 6: Final answer
   x = 296,579.44