Finding the Third Proportional to 41,138 and 86,570

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 86,570 = 86,570 : x
2. Step 2: Convert to fraction form
   41,138/86,570 = 86,570/x
3. Step 3: Cross multiply
   41,138x = 86,570 × 86,570
4. Step 4: Simplify right side
   41,138x = 7,494,364,900
5. Step 5: Solve for x
   x = 7,494,364,900/41,138
6. Step 6: Final answer
   x = 182,176.21