Finding the Third Proportional to 47,874 and 101,801

Step by Step Solution

1. Step 1: Write the proportion equation
   47,874 : 101,801 = 101,801 : x
2. Step 2: Convert to fraction form
   47,874/101,801 = 101,801/x
3. Step 3: Cross multiply
   47,874x = 101,801 × 101,801
4. Step 4: Simplify right side
   47,874x = 10,363,443,601
5. Step 5: Solve for x
   x = 10,363,443,601/47,874
6. Step 6: Final answer
   x = 216,473.32