Finding the Third Proportional to 47,663 and 101,868

Step by Step Solution

1. Step 1: Write the proportion equation
   47,663 : 101,868 = 101,868 : x
2. Step 2: Convert to fraction form
   47,663/101,868 = 101,868/x
3. Step 3: Cross multiply
   47,663x = 101,868 × 101,868
4. Step 4: Simplify right side
   47,663x = 10,377,089,424
5. Step 5: Solve for x
   x = 10,377,089,424/47,663
6. Step 6: Final answer
   x = 217,717.92