Finding the Third Proportional to 41,078 and 84,099

Step by Step Solution

1. Step 1: Write the proportion equation
   41,078 : 84,099 = 84,099 : x
2. Step 2: Convert to fraction form
   41,078/84,099 = 84,099/x
3. Step 3: Cross multiply
   41,078x = 84,099 × 84,099
4. Step 4: Simplify right side
   41,078x = 7,072,641,801
5. Step 5: Solve for x
   x = 7,072,641,801/41,078
6. Step 6: Final answer
   x = 172,175.90