Finding the Third Proportional to 47,665 and 103,630

Step by Step Solution

1. Step 1: Write the proportion equation
   47,665 : 103,630 = 103,630 : x
2. Step 2: Convert to fraction form
   47,665/103,630 = 103,630/x
3. Step 3: Cross multiply
   47,665x = 103,630 × 103,630
4. Step 4: Simplify right side
   47,665x = 10,739,176,900
5. Step 5: Solve for x
   x = 10,739,176,900/47,665
6. Step 6: Final answer
   x = 225,305.30