Finding the Third Proportional to 41,629.50 and 89,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,629.50 : 89,908.50 = 89,908.50 : x
2. Step 2: Convert to fraction form
   41,629.50/89,908.50 = 89,908.50/x
3. Step 3: Cross multiply
   41,629.50x = 89,908.50 × 89,908.50
4. Step 4: Simplify right side
   41,629.50x = 8,083,538,372.25
5. Step 5: Solve for x
   x = 8,083,538,372.25/41,629.50
6. Step 6: Final answer
   x = 194,178.13