Finding the Third Proportional to 41,580 and 85,608

Step by Step Solution

1. Step 1: Write the proportion equation
   41,580 : 85,608 = 85,608 : x
2. Step 2: Convert to fraction form
   41,580/85,608 = 85,608/x
3. Step 3: Cross multiply
   41,580x = 85,608 × 85,608
4. Step 4: Simplify right side
   41,580x = 7,328,729,664
5. Step 5: Solve for x
   x = 7,328,729,664/41,580
6. Step 6: Final answer
   x = 176,256.12