Finding the Third Proportional to 41,182.50 and 83,823

Step by Step Solution

1. Step 1: Write the proportion equation
   41,182.50 : 83,823 = 83,823 : x
2. Step 2: Convert to fraction form
   41,182.50/83,823 = 83,823/x
3. Step 3: Cross multiply
   41,182.50x = 83,823 × 83,823
4. Step 4: Simplify right side
   41,182.50x = 7,026,295,329
5. Step 5: Solve for x
   x = 7,026,295,329/41,182.50
6. Step 6: Final answer
   x = 170,613.62