Finding the Third Proportional to 41,137 and 89,813

Step by Step Solution

1. Step 1: Write the proportion equation
   41,137 : 89,813 = 89,813 : x
2. Step 2: Convert to fraction form
   41,137/89,813 = 89,813/x
3. Step 3: Cross multiply
   41,137x = 89,813 × 89,813
4. Step 4: Simplify right side
   41,137x = 8,066,374,969
5. Step 5: Solve for x
   x = 8,066,374,969/41,137
6. Step 6: Final answer
   x = 196,085.64