Finding the Third Proportional to 47,089 and 101,648

Step by Step Solution

1. Step 1: Write the proportion equation
   47,089 : 101,648 = 101,648 : x
2. Step 2: Convert to fraction form
   47,089/101,648 = 101,648/x
3. Step 3: Cross multiply
   47,089x = 101,648 × 101,648
4. Step 4: Simplify right side
   47,089x = 10,332,315,904
5. Step 5: Solve for x
   x = 10,332,315,904/47,089
6. Step 6: Final answer
   x = 219,421.01