Finding the Third Proportional to 41,380 and 89,320

Step by Step Solution

1. Step 1: Write the proportion equation
   41,380 : 89,320 = 89,320 : x
2. Step 2: Convert to fraction form
   41,380/89,320 = 89,320/x
3. Step 3: Cross multiply
   41,380x = 89,320 × 89,320
4. Step 4: Simplify right side
   41,380x = 7,978,062,400
5. Step 5: Solve for x
   x = 7,978,062,400/41,380
6. Step 6: Final answer
   x = 192,799.96