Finding the Third Proportional to 86,167 and 188,336

Step by Step Solution

1. Step 1: Write the proportion equation
   86,167 : 188,336 = 188,336 : x
2. Step 2: Convert to fraction form
   86,167/188,336 = 188,336/x
3. Step 3: Cross multiply
   86,167x = 188,336 × 188,336
4. Step 4: Simplify right side
   86,167x = 35,470,448,896
5. Step 5: Solve for x
   x = 35,470,448,896/86,167
6. Step 6: Final answer
   x = 411,647.72