Finding the Third Proportional to 47,709 and 103,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,709 : 103,639.50 = 103,639.50 : x
2. Step 2: Convert to fraction form
   47,709/103,639.50 = 103,639.50/x
3. Step 3: Cross multiply
   47,709x = 103,639.50 × 103,639.50
4. Step 4: Simplify right side
   47,709x = 10,741,145,960.25
5. Step 5: Solve for x
   x = 10,741,145,960.25/47,709
6. Step 6: Final answer
   x = 225,138.78