Finding the Third Proportional to 41,561 and 90,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,561 : 90,087.50 = 90,087.50 : x
2. Step 2: Convert to fraction form
   41,561/90,087.50 = 90,087.50/x
3. Step 3: Cross multiply
   41,561x = 90,087.50 × 90,087.50
4. Step 4: Simplify right side
   41,561x = 8,115,757,656.25
5. Step 5: Solve for x
   x = 8,115,757,656.25/41,561
6. Step 6: Final answer
   x = 195,273.40