Finding the Third Proportional to 86,288 and 188,616

Step by Step Solution

1. Step 1: Write the proportion equation
   86,288 : 188,616 = 188,616 : x
2. Step 2: Convert to fraction form
   86,288/188,616 = 188,616/x
3. Step 3: Cross multiply
   86,288x = 188,616 × 188,616
4. Step 4: Simplify right side
   86,288x = 35,575,995,456
5. Step 5: Solve for x
   x = 35,575,995,456/86,288
6. Step 6: Final answer
   x = 412,293.66