Finding the Third Proportional to 47,644 and 103,754

Step by Step Solution

1. Step 1: Write the proportion equation
   47,644 : 103,754 = 103,754 : x
2. Step 2: Convert to fraction form
   47,644/103,754 = 103,754/x
3. Step 3: Cross multiply
   47,644x = 103,754 × 103,754
4. Step 4: Simplify right side
   47,644x = 10,764,892,516
5. Step 5: Solve for x
   x = 10,764,892,516/47,644
6. Step 6: Final answer
   x = 225,944.35