Finding the Third Proportional to 40,828 and 89,144

Step by Step Solution

1. Step 1: Write the proportion equation
   40,828 : 89,144 = 89,144 : x
2. Step 2: Convert to fraction form
   40,828/89,144 = 89,144/x
3. Step 3: Cross multiply
   40,828x = 89,144 × 89,144
4. Step 4: Simplify right side
   40,828x = 7,946,652,736
5. Step 5: Solve for x
   x = 7,946,652,736/40,828
6. Step 6: Final answer
   x = 194,637.33