Finding the Third Proportional to 41,182 and 83,821

Step by Step Solution

1. Step 1: Write the proportion equation
   41,182 : 83,821 = 83,821 : x
2. Step 2: Convert to fraction form
   41,182/83,821 = 83,821/x
3. Step 3: Cross multiply
   41,182x = 83,821 × 83,821
4. Step 4: Simplify right side
   41,182x = 7,025,960,041
5. Step 5: Solve for x
   x = 7,025,960,041/41,182
6. Step 6: Final answer
   x = 170,607.55