Finding the Third Proportional to 86,295 and 188,736

Step by Step Solution

1. Step 1: Write the proportion equation
   86,295 : 188,736 = 188,736 : x
2. Step 2: Convert to fraction form
   86,295/188,736 = 188,736/x
3. Step 3: Cross multiply
   86,295x = 188,736 × 188,736
4. Step 4: Simplify right side
   86,295x = 35,621,277,696
5. Step 5: Solve for x
   x = 35,621,277,696/86,295
6. Step 6: Final answer
   x = 412,784.96