Finding the Third Proportional to 47,736 and 103,776

Step by Step Solution

1. Step 1: Write the proportion equation
   47,736 : 103,776 = 103,776 : x
2. Step 2: Convert to fraction form
   47,736/103,776 = 103,776/x
3. Step 3: Cross multiply
   47,736x = 103,776 × 103,776
4. Step 4: Simplify right side
   47,736x = 10,769,458,176
5. Step 5: Solve for x
   x = 10,769,458,176/47,736
6. Step 6: Final answer
   x = 225,604.54