Finding the Third Proportional to 41,458.50 and 89,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,458.50 : 89,538.75 = 89,538.75 : x
2. Step 2: Convert to fraction form
   41,458.50/89,538.75 = 89,538.75/x
3. Step 3: Cross multiply
   41,458.50x = 89,538.75 × 89,538.75
4. Step 4: Simplify right side
   41,458.50x = 8,017,187,751.56
5. Step 5: Solve for x
   x = 8,017,187,751.56/41,458.50
6. Step 6: Final answer
   x = 193,378.63