Finding the Third Proportional to 41,094 and 89,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,094 : 89,723.25 = 89,723.25 : x
2. Step 2: Convert to fraction form
   41,094/89,723.25 = 89,723.25/x
3. Step 3: Cross multiply
   41,094x = 89,723.25 × 89,723.25
4. Step 4: Simplify right side
   41,094x = 8,050,261,590.56
5. Step 5: Solve for x
   x = 8,050,261,590.56/41,094
6. Step 6: Final answer
   x = 195,898.71