Finding the Third Proportional to 91,104 and 194,256

Step by Step Solution

1. Step 1: Write the proportion equation
   91,104 : 194,256 = 194,256 : x
2. Step 2: Convert to fraction form
   91,104/194,256 = 194,256/x
3. Step 3: Cross multiply
   91,104x = 194,256 × 194,256
4. Step 4: Simplify right side
   91,104x = 37,735,393,536
5. Step 5: Solve for x
   x = 37,735,393,536/91,104
6. Step 6: Final answer
   x = 414,201.28