Finding the Third Proportional to 41,171 and 88,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,171 : 88,583.50 = 88,583.50 : x
2. Step 2: Convert to fraction form
   41,171/88,583.50 = 88,583.50/x
3. Step 3: Cross multiply
   41,171x = 88,583.50 × 88,583.50
4. Step 4: Simplify right side
   41,171x = 7,847,036,472.25
5. Step 5: Solve for x
   x = 7,847,036,472.25/41,171
6. Step 6: Final answer
   x = 190,596.21