Finding the Third Proportional to 142,324 and 206,142

Step by Step Solution

1. Step 1: Write the proportion equation
   142,324 : 206,142 = 206,142 : x
2. Step 2: Convert to fraction form
   142,324/206,142 = 206,142/x
3. Step 3: Cross multiply
   142,324x = 206,142 × 206,142
4. Step 4: Simplify right side
   142,324x = 42,494,524,164
5. Step 5: Solve for x
   x = 42,494,524,164/142,324
6. Step 6: Final answer
   x = 298,575.95