Finding the Third Proportional to 86,810 and 188,386

Step by Step Solution

1. Step 1: Write the proportion equation
   86,810 : 188,386 = 188,386 : x
2. Step 2: Convert to fraction form
   86,810/188,386 = 188,386/x
3. Step 3: Cross multiply
   86,810x = 188,386 × 188,386
4. Step 4: Simplify right side
   86,810x = 35,489,284,996
5. Step 5: Solve for x
   x = 35,489,284,996/86,810
6. Step 6: Final answer
   x = 408,815.63