Finding the Third Proportional to 47,628 and 103,458

Step by Step Solution

1. Step 1: Write the proportion equation
   47,628 : 103,458 = 103,458 : x
2. Step 2: Convert to fraction form
   47,628/103,458 = 103,458/x
3. Step 3: Cross multiply
   47,628x = 103,458 × 103,458
4. Step 4: Simplify right side
   47,628x = 10,703,557,764
5. Step 5: Solve for x
   x = 10,703,557,764/47,628
6. Step 6: Final answer
   x = 224,732.46