Finding the Third Proportional to 86,240 and 188,524

Step by Step Solution

1. Step 1: Write the proportion equation
   86,240 : 188,524 = 188,524 : x
2. Step 2: Convert to fraction form
   86,240/188,524 = 188,524/x
3. Step 3: Cross multiply
   86,240x = 188,524 × 188,524
4. Step 4: Simplify right side
   86,240x = 35,541,298,576
5. Step 5: Solve for x
   x = 35,541,298,576/86,240
6. Step 6: Final answer
   x = 412,120.81