Finding the Third Proportional to 47,894 and 102,665

Step by Step Solution

1. Step 1: Write the proportion equation
   47,894 : 102,665 = 102,665 : x
2. Step 2: Convert to fraction form
   47,894/102,665 = 102,665/x
3. Step 3: Cross multiply
   47,894x = 102,665 × 102,665
4. Step 4: Simplify right side
   47,894x = 10,540,102,225
5. Step 5: Solve for x
   x = 10,540,102,225/47,894
6. Step 6: Final answer
   x = 220,071.45