Finding the Third Proportional to 142,348 and 209,238

Step by Step Solution

1. Step 1: Write the proportion equation
   142,348 : 209,238 = 209,238 : x
2. Step 2: Convert to fraction form
   142,348/209,238 = 209,238/x
3. Step 3: Cross multiply
   142,348x = 209,238 × 209,238
4. Step 4: Simplify right side
   142,348x = 43,780,540,644
5. Step 5: Solve for x
   x = 43,780,540,644/142,348
6. Step 6: Final answer
   x = 307,559.93