Finding the Third Proportional to 89,586 and 194,976

Step by Step Solution

1. Step 1: Write the proportion equation
   89,586 : 194,976 = 194,976 : x
2. Step 2: Convert to fraction form
   89,586/194,976 = 194,976/x
3. Step 3: Cross multiply
   89,586x = 194,976 × 194,976
4. Step 4: Simplify right side
   89,586x = 38,015,640,576
5. Step 5: Solve for x
   x = 38,015,640,576/89,586
6. Step 6: Final answer
   x = 424,348.01