Finding the Third Proportional to 41,782.50 and 89,390.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782.50 : 89,390.25 = 89,390.25 : x
2. Step 2: Convert to fraction form
   41,782.50/89,390.25 = 89,390.25/x
3. Step 3: Cross multiply
   41,782.50x = 89,390.25 × 89,390.25
4. Step 4: Simplify right side
   41,782.50x = 7,990,616,795.06
5. Step 5: Solve for x
   x = 7,990,616,795.06/41,782.50
6. Step 6: Final answer
   x = 191,243.15