Finding the Third Proportional to 47,140 and 101,661

Step by Step Solution

1. Step 1: Write the proportion equation
   47,140 : 101,661 = 101,661 : x
2. Step 2: Convert to fraction form
   47,140/101,661 = 101,661/x
3. Step 3: Cross multiply
   47,140x = 101,661 × 101,661
4. Step 4: Simplify right side
   47,140x = 10,334,958,921
5. Step 5: Solve for x
   x = 10,334,958,921/47,140
6. Step 6: Final answer
   x = 219,239.69