Finding the Third Proportional to 47,734 and 103,322

Step by Step Solution

1. Step 1: Write the proportion equation
   47,734 : 103,322 = 103,322 : x
2. Step 2: Convert to fraction form
   47,734/103,322 = 103,322/x
3. Step 3: Cross multiply
   47,734x = 103,322 × 103,322
4. Step 4: Simplify right side
   47,734x = 10,675,435,684
5. Step 5: Solve for x
   x = 10,675,435,684/47,734
6. Step 6: Final answer
   x = 223,644.27