Finding the Third Proportional to 86,300 and 188,744

Step by Step Solution

1. Step 1: Write the proportion equation
   86,300 : 188,744 = 188,744 : x
2. Step 2: Convert to fraction form
   86,300/188,744 = 188,744/x
3. Step 3: Cross multiply
   86,300x = 188,744 × 188,744
4. Step 4: Simplify right side
   86,300x = 35,624,297,536
5. Step 5: Solve for x
   x = 35,624,297,536/86,300
6. Step 6: Final answer
   x = 412,796.03