Finding the Third Proportional to 47,256 and 103,827

Step by Step Solution

1. Step 1: Write the proportion equation
   47,256 : 103,827 = 103,827 : x
2. Step 2: Convert to fraction form
   47,256/103,827 = 103,827/x
3. Step 3: Cross multiply
   47,256x = 103,827 × 103,827
4. Step 4: Simplify right side
   47,256x = 10,780,045,929
5. Step 5: Solve for x
   x = 10,780,045,929/47,256
6. Step 6: Final answer
   x = 228,120.15