Finding the Third Proportional to 47,434 and 105,372

Step by Step Solution

1. Step 1: Write the proportion equation
   47,434 : 105,372 = 105,372 : x
2. Step 2: Convert to fraction form
   47,434/105,372 = 105,372/x
3. Step 3: Cross multiply
   47,434x = 105,372 × 105,372
4. Step 4: Simplify right side
   47,434x = 11,103,258,384
5. Step 5: Solve for x
   x = 11,103,258,384/47,434
6. Step 6: Final answer
   x = 234,078.05