Finding the Third Proportional to 41,289.75 and 89,606.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,289.75 : 89,606.25 = 89,606.25 : x
2. Step 2: Convert to fraction form
   41,289.75/89,606.25 = 89,606.25/x
3. Step 3: Cross multiply
   41,289.75x = 89,606.25 × 89,606.25
4. Step 4: Simplify right side
   41,289.75x = 8,029,280,039.06
5. Step 5: Solve for x
   x = 8,029,280,039.06/41,289.75
6. Step 6: Final answer
   x = 194,461.82