Finding the Third Proportional to 142,282 and 206,078

Step by Step Solution

1. Step 1: Write the proportion equation
   142,282 : 206,078 = 206,078 : x
2. Step 2: Convert to fraction form
   142,282/206,078 = 206,078/x
3. Step 3: Cross multiply
   142,282x = 206,078 × 206,078
4. Step 4: Simplify right side
   142,282x = 42,468,142,084
5. Step 5: Solve for x
   x = 42,468,142,084/142,282
6. Step 6: Final answer
   x = 298,478.67