Finding the Third Proportional to 40,841 and 89,543

Step by Step Solution

1. Step 1: Write the proportion equation
   40,841 : 89,543 = 89,543 : x
2. Step 2: Convert to fraction form
   40,841/89,543 = 89,543/x
3. Step 3: Cross multiply
   40,841x = 89,543 × 89,543
4. Step 4: Simplify right side
   40,841x = 8,017,948,849
5. Step 5: Solve for x
   x = 8,017,948,849/40,841
6. Step 6: Final answer
   x = 196,321.07