Finding the Third Proportional to 47,417 and 103,582

Step by Step Solution

1. Step 1: Write the proportion equation
   47,417 : 103,582 = 103,582 : x
2. Step 2: Convert to fraction form
   47,417/103,582 = 103,582/x
3. Step 3: Cross multiply
   47,417x = 103,582 × 103,582
4. Step 4: Simplify right side
   47,417x = 10,729,230,724
5. Step 5: Solve for x
   x = 10,729,230,724/47,417
6. Step 6: Final answer
   x = 226,273.93