Finding the Third Proportional to 47,664 and 103,627.69

Step by Step Solution

1. Step 1: Write the proportion equation
   47,664 : 103,627.69 = 103,627.69 : x
2. Step 2: Convert to fraction form
   47,664/103,627.69 = 103,627.69/x
3. Step 3: Cross multiply
   47,664x = 103,627.69 × 103,627.69
4. Step 4: Simplify right side
   47,664x = 10,738,697,616.60
5. Step 5: Solve for x
   x = 10,738,697,616.60/47,664
6. Step 6: Final answer
   x = 225,299.97