Finding the Third Proportional to 95,760 and 194,256

Step by Step Solution

1. Step 1: Write the proportion equation
   95,760 : 194,256 = 194,256 : x
2. Step 2: Convert to fraction form
   95,760/194,256 = 194,256/x
3. Step 3: Cross multiply
   95,760x = 194,256 × 194,256
4. Step 4: Simplify right side
   95,760x = 37,735,393,536
5. Step 5: Solve for x
   x = 37,735,393,536/95,760
6. Step 6: Final answer
   x = 394,062.17