Finding the Third Proportional to 47,662 and 103,624

Step by Step Solution

1. Step 1: Write the proportion equation
   47,662 : 103,624 = 103,624 : x
2. Step 2: Convert to fraction form
   47,662/103,624 = 103,624/x
3. Step 3: Cross multiply
   47,662x = 103,624 × 103,624
4. Step 4: Simplify right side
   47,662x = 10,737,933,376
5. Step 5: Solve for x
   x = 10,737,933,376/47,662
6. Step 6: Final answer
   x = 225,293.39