Finding the Third Proportional to 47,649 and 101,856

Step by Step Solution

1. Step 1: Write the proportion equation
   47,649 : 101,856 = 101,856 : x
2. Step 2: Convert to fraction form
   47,649/101,856 = 101,856/x
3. Step 3: Cross multiply
   47,649x = 101,856 × 101,856
4. Step 4: Simplify right side
   47,649x = 10,374,644,736
5. Step 5: Solve for x
   x = 10,374,644,736/47,649
6. Step 6: Final answer
   x = 217,730.59