Finding the Third Proportional to 41,709 and 86,870

Step by Step Solution

1. Step 1: Write the proportion equation
   41,709 : 86,870 = 86,870 : x
2. Step 2: Convert to fraction form
   41,709/86,870 = 86,870/x
3. Step 3: Cross multiply
   41,709x = 86,870 × 86,870
4. Step 4: Simplify right side
   41,709x = 7,546,396,900
5. Step 5: Solve for x
   x = 7,546,396,900/41,709
6. Step 6: Final answer
   x = 180,929.70