Finding the Third Proportional to 95,414 and 140,204

Step by Step Solution

1. Step 1: Write the proportion equation
   95,414 : 140,204 = 140,204 : x
2. Step 2: Convert to fraction form
   95,414/140,204 = 140,204/x
3. Step 3: Cross multiply
   95,414x = 140,204 × 140,204
4. Step 4: Simplify right side
   95,414x = 19,657,161,616
5. Step 5: Solve for x
   x = 19,657,161,616/95,414
6. Step 6: Final answer
   x = 206,019.68