Finding the Third Proportional to 41,796 and 89,343

Step by Step Solution

1. Step 1: Write the proportion equation
   41,796 : 89,343 = 89,343 : x
2. Step 2: Convert to fraction form
   41,796/89,343 = 89,343/x
3. Step 3: Cross multiply
   41,796x = 89,343 × 89,343
4. Step 4: Simplify right side
   41,796x = 7,982,171,649
5. Step 5: Solve for x
   x = 7,982,171,649/41,796
6. Step 6: Final answer
   x = 190,979.32