Finding the Third Proportional to 47,584.50 and 103,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,584.50 : 103,642.50 = 103,642.50 : x
2. Step 2: Convert to fraction form
   47,584.50/103,642.50 = 103,642.50/x
3. Step 3: Cross multiply
   47,584.50x = 103,642.50 × 103,642.50
4. Step 4: Simplify right side
   47,584.50x = 10,741,767,806.25
5. Step 5: Solve for x
   x = 10,741,767,806.25/47,584.50
6. Step 6: Final answer
   x = 225,740.90