Finding the Third Proportional to 47,982 and 101,500

Step by Step Solution

1. Step 1: Write the proportion equation
   47,982 : 101,500 = 101,500 : x
2. Step 2: Convert to fraction form
   47,982/101,500 = 101,500/x
3. Step 3: Cross multiply
   47,982x = 101,500 × 101,500
4. Step 4: Simplify right side
   47,982x = 10,302,250,000
5. Step 5: Solve for x
   x = 10,302,250,000/47,982
6. Step 6: Final answer
   x = 214,710.72