Finding the Third Proportional to 47,388 and 103,256

Step by Step Solution

1. Step 1: Write the proportion equation
   47,388 : 103,256 = 103,256 : x
2. Step 2: Convert to fraction form
   47,388/103,256 = 103,256/x
3. Step 3: Cross multiply
   47,388x = 103,256 × 103,256
4. Step 4: Simplify right side
   47,388x = 10,661,801,536
5. Step 5: Solve for x
   x = 10,661,801,536/47,388
6. Step 6: Final answer
   x = 224,989.48