Finding the Third Proportional to 86,216 and 188,471

Step by Step Solution

1. Step 1: Write the proportion equation
   86,216 : 188,471 = 188,471 : x
2. Step 2: Convert to fraction form
   86,216/188,471 = 188,471/x
3. Step 3: Cross multiply
   86,216x = 188,471 × 188,471
4. Step 4: Simplify right side
   86,216x = 35,521,317,841
5. Step 5: Solve for x
   x = 35,521,317,841/86,216
6. Step 6: Final answer
   x = 412,003.78