Finding the Third Proportional to 47,462 and 103,666

Step by Step Solution

1. Step 1: Write the proportion equation
   47,462 : 103,666 = 103,666 : x
2. Step 2: Convert to fraction form
   47,462/103,666 = 103,666/x
3. Step 3: Cross multiply
   47,462x = 103,666 × 103,666
4. Step 4: Simplify right side
   47,462x = 10,746,639,556
5. Step 5: Solve for x
   x = 10,746,639,556/47,462
6. Step 6: Final answer
   x = 226,426.18