Finding the Third Proportional to 47,616 and 102,144

Step by Step Solution

1. Step 1: Write the proportion equation
   47,616 : 102,144 = 102,144 : x
2. Step 2: Convert to fraction form
   47,616/102,144 = 102,144/x
3. Step 3: Cross multiply
   47,616x = 102,144 × 102,144
4. Step 4: Simplify right side
   47,616x = 10,433,396,736
5. Step 5: Solve for x
   x = 10,433,396,736/47,616
6. Step 6: Final answer
   x = 219,115.35