Finding the Third Proportional to 143,120 and 188,256

Step by Step Solution

1. Step 1: Write the proportion equation
   143,120 : 188,256 = 188,256 : x
2. Step 2: Convert to fraction form
   143,120/188,256 = 188,256/x
3. Step 3: Cross multiply
   143,120x = 188,256 × 188,256
4. Step 4: Simplify right side
   143,120x = 35,440,321,536
5. Step 5: Solve for x
   x = 35,440,321,536/143,120
6. Step 6: Final answer
   x = 247,626.62