Finding the Third Proportional to 41,170 and 85,570

Step by Step Solution

1. Step 1: Write the proportion equation
   41,170 : 85,570 = 85,570 : x
2. Step 2: Convert to fraction form
   41,170/85,570 = 85,570/x
3. Step 3: Cross multiply
   41,170x = 85,570 × 85,570
4. Step 4: Simplify right side
   41,170x = 7,322,224,900
5. Step 5: Solve for x
   x = 7,322,224,900/41,170
6. Step 6: Final answer
   x = 177,853.41