Finding the Third Proportional to 41,665 and 89,878

Step by Step Solution

1. Step 1: Write the proportion equation
   41,665 : 89,878 = 89,878 : x
2. Step 2: Convert to fraction form
   41,665/89,878 = 89,878/x
3. Step 3: Cross multiply
   41,665x = 89,878 × 89,878
4. Step 4: Simplify right side
   41,665x = 8,078,054,884
5. Step 5: Solve for x
   x = 8,078,054,884/41,665
6. Step 6: Final answer
   x = 193,881.07