Finding the Third Proportional to 47,589 and 103,650

Step by Step Solution

1. Step 1: Write the proportion equation
   47,589 : 103,650 = 103,650 : x
2. Step 2: Convert to fraction form
   47,589/103,650 = 103,650/x
3. Step 3: Cross multiply
   47,589x = 103,650 × 103,650
4. Step 4: Simplify right side
   47,589x = 10,743,322,500
5. Step 5: Solve for x
   x = 10,743,322,500/47,589
6. Step 6: Final answer
   x = 225,752.22