Finding the Third Proportional to 47,627 and 103,456

Step by Step Solution

1. Step 1: Write the proportion equation
   47,627 : 103,456 = 103,456 : x
2. Step 2: Convert to fraction form
   47,627/103,456 = 103,456/x
3. Step 3: Cross multiply
   47,627x = 103,456 × 103,456
4. Step 4: Simplify right side
   47,627x = 10,703,143,936
5. Step 5: Solve for x
   x = 10,703,143,936/47,627
6. Step 6: Final answer
   x = 224,728.49