Finding the Third Proportional to 88,144 and 192,976

Step by Step Solution

1. Step 1: Write the proportion equation
   88,144 : 192,976 = 192,976 : x
2. Step 2: Convert to fraction form
   88,144/192,976 = 192,976/x
3. Step 3: Cross multiply
   88,144x = 192,976 × 192,976
4. Step 4: Simplify right side
   88,144x = 37,239,736,576
5. Step 5: Solve for x
   x = 37,239,736,576/88,144
6. Step 6: Final answer
   x = 422,487.48