Finding the Third Proportional to 87,648 and 188,436

Step by Step Solution

1. Step 1: Write the proportion equation
   87,648 : 188,436 = 188,436 : x
2. Step 2: Convert to fraction form
   87,648/188,436 = 188,436/x
3. Step 3: Cross multiply
   87,648x = 188,436 × 188,436
4. Step 4: Simplify right side
   87,648x = 35,508,126,096
5. Step 5: Solve for x
   x = 35,508,126,096/87,648
6. Step 6: Final answer
   x = 405,121.92