Finding the Third Proportional to 41,180 and 83,814

Step by Step Solution

1. Step 1: Write the proportion equation
   41,180 : 83,814 = 83,814 : x
2. Step 2: Convert to fraction form
   41,180/83,814 = 83,814/x
3. Step 3: Cross multiply
   41,180x = 83,814 × 83,814
4. Step 4: Simplify right side
   41,180x = 7,024,786,596
5. Step 5: Solve for x
   x = 7,024,786,596/41,180
6. Step 6: Final answer
   x = 170,587.34