Finding the Third Proportional to 41,137 and 89,321

Step by Step Solution

1. Step 1: Write the proportion equation
   41,137 : 89,321 = 89,321 : x
2. Step 2: Convert to fraction form
   41,137/89,321 = 89,321/x
3. Step 3: Cross multiply
   41,137x = 89,321 × 89,321
4. Step 4: Simplify right side
   41,137x = 7,978,241,041
5. Step 5: Solve for x
   x = 7,978,241,041/41,137
6. Step 6: Final answer
   x = 193,943.19