Finding the Third Proportional to 91,586 and 194,404

Step by Step Solution

1. Step 1: Write the proportion equation
   91,586 : 194,404 = 194,404 : x
2. Step 2: Convert to fraction form
   91,586/194,404 = 194,404/x
3. Step 3: Cross multiply
   91,586x = 194,404 × 194,404
4. Step 4: Simplify right side
   91,586x = 37,792,915,216
5. Step 5: Solve for x
   x = 37,792,915,216/91,586
6. Step 6: Final answer
   x = 412,649.48