Finding the Third Proportional to 89,344 and 194,240

Step by Step Solution

1. Step 1: Write the proportion equation
   89,344 : 194,240 = 194,240 : x
2. Step 2: Convert to fraction form
   89,344/194,240 = 194,240/x
3. Step 3: Cross multiply
   89,344x = 194,240 × 194,240
4. Step 4: Simplify right side
   89,344x = 37,729,177,600
5. Step 5: Solve for x
   x = 37,729,177,600/89,344
6. Step 6: Final answer
   x = 422,291.12