Finding the Third Proportional to 86,166 and 188,334

Step by Step Solution

1. Step 1: Write the proportion equation
   86,166 : 188,334 = 188,334 : x
2. Step 2: Convert to fraction form
   86,166/188,334 = 188,334/x
3. Step 3: Cross multiply
   86,166x = 188,334 × 188,334
4. Step 4: Simplify right side
   86,166x = 35,469,695,556
5. Step 5: Solve for x
   x = 35,469,695,556/86,166
6. Step 6: Final answer
   x = 411,643.75