Finding the Third Proportional to 47,168 and 102,760

Step by Step Solution

1. Step 1: Write the proportion equation
   47,168 : 102,760 = 102,760 : x
2. Step 2: Convert to fraction form
   47,168/102,760 = 102,760/x
3. Step 3: Cross multiply
   47,168x = 102,760 × 102,760
4. Step 4: Simplify right side
   47,168x = 10,559,617,600
5. Step 5: Solve for x
   x = 10,559,617,600/47,168
6. Step 6: Final answer
   x = 223,872.49