Finding the Third Proportional to 41,187 and 83,831

Step by Step Solution

1. Step 1: Write the proportion equation
   41,187 : 83,831 = 83,831 : x
2. Step 2: Convert to fraction form
   41,187/83,831 = 83,831/x
3. Step 3: Cross multiply
   41,187x = 83,831 × 83,831
4. Step 4: Simplify right side
   41,187x = 7,027,636,561
5. Step 5: Solve for x
   x = 7,027,636,561/41,187
6. Step 6: Final answer
   x = 170,627.54