Finding the Third Proportional to 47,747 and 102,942

Step by Step Solution

1. Step 1: Write the proportion equation
   47,747 : 102,942 = 102,942 : x
2. Step 2: Convert to fraction form
   47,747/102,942 = 102,942/x
3. Step 3: Cross multiply
   47,747x = 102,942 × 102,942
4. Step 4: Simplify right side
   47,747x = 10,597,055,364
5. Step 5: Solve for x
   x = 10,597,055,364/47,747
6. Step 6: Final answer
   x = 221,941.81