Finding the Third Proportional to 41,557.50 and 90,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,557.50 : 90,222.75 = 90,222.75 : x
2. Step 2: Convert to fraction form
   41,557.50/90,222.75 = 90,222.75/x
3. Step 3: Cross multiply
   41,557.50x = 90,222.75 × 90,222.75
4. Step 4: Simplify right side
   41,557.50x = 8,140,144,617.56
5. Step 5: Solve for x
   x = 8,140,144,617.56/41,557.50
6. Step 6: Final answer
   x = 195,876.67