Finding the Third Proportional to 142,296 and 206,096

Step by Step Solution

1. Step 1: Write the proportion equation
   142,296 : 206,096 = 206,096 : x
2. Step 2: Convert to fraction form
   142,296/206,096 = 206,096/x
3. Step 3: Cross multiply
   142,296x = 206,096 × 206,096
4. Step 4: Simplify right side
   142,296x = 42,475,561,216
5. Step 5: Solve for x
   x = 42,475,561,216/142,296
6. Step 6: Final answer
   x = 298,501.44