Finding the Third Proportional to 47,072 and 100,456

Step by Step Solution

1. Step 1: Write the proportion equation
   47,072 : 100,456 = 100,456 : x
2. Step 2: Convert to fraction form
   47,072/100,456 = 100,456/x
3. Step 3: Cross multiply
   47,072x = 100,456 × 100,456
4. Step 4: Simplify right side
   47,072x = 10,091,407,936
5. Step 5: Solve for x
   x = 10,091,407,936/47,072
6. Step 6: Final answer
   x = 214,382.39