Finding the Third Proportional to 41,176 and 89,882

Step by Step Solution

1. Step 1: Write the proportion equation
   41,176 : 89,882 = 89,882 : x
2. Step 2: Convert to fraction form
   41,176/89,882 = 89,882/x
3. Step 3: Cross multiply
   41,176x = 89,882 × 89,882
4. Step 4: Simplify right side
   41,176x = 8,078,773,924
5. Step 5: Solve for x
   x = 8,078,773,924/41,176
6. Step 6: Final answer
   x = 196,201.04