Finding the Third Proportional to 47,398 and 103,705

Step by Step Solution

1. Step 1: Write the proportion equation
   47,398 : 103,705 = 103,705 : x
2. Step 2: Convert to fraction form
   47,398/103,705 = 103,705/x
3. Step 3: Cross multiply
   47,398x = 103,705 × 103,705
4. Step 4: Simplify right side
   47,398x = 10,754,727,025
5. Step 5: Solve for x
   x = 10,754,727,025/47,398
6. Step 6: Final answer
   x = 226,902.55