Finding the Third Proportional to 47,727 and 103,320

Step by Step Solution

1. Step 1: Write the proportion equation
   47,727 : 103,320 = 103,320 : x
2. Step 2: Convert to fraction form
   47,727/103,320 = 103,320/x
3. Step 3: Cross multiply
   47,727x = 103,320 × 103,320
4. Step 4: Simplify right side
   47,727x = 10,675,022,400
5. Step 5: Solve for x
   x = 10,675,022,400/47,727
6. Step 6: Final answer
   x = 223,668.41