Finding the Third Proportional to 86,328 and 188,666

Step by Step Solution

1. Step 1: Write the proportion equation
   86,328 : 188,666 = 188,666 : x
2. Step 2: Convert to fraction form
   86,328/188,666 = 188,666/x
3. Step 3: Cross multiply
   86,328x = 188,666 × 188,666
4. Step 4: Simplify right side
   86,328x = 35,594,859,556
5. Step 5: Solve for x
   x = 35,594,859,556/86,328
6. Step 6: Final answer
   x = 412,321.14