Finding the Third Proportional to 47,441.50 and 102,675

Step by Step Solution

1. Step 1: Write the proportion equation
   47,441.50 : 102,675 = 102,675 : x
2. Step 2: Convert to fraction form
   47,441.50/102,675 = 102,675/x
3. Step 3: Cross multiply
   47,441.50x = 102,675 × 102,675
4. Step 4: Simplify right side
   47,441.50x = 10,542,155,625
5. Step 5: Solve for x
   x = 10,542,155,625/47,441.50
6. Step 6: Final answer
   x = 222,213.79