Finding the Third Proportional to 41,558 and 85,564

Step by Step Solution

1. Step 1: Write the proportion equation
   41,558 : 85,564 = 85,564 : x
2. Step 2: Convert to fraction form
   41,558/85,564 = 85,564/x
3. Step 3: Cross multiply
   41,558x = 85,564 × 85,564
4. Step 4: Simplify right side
   41,558x = 7,321,198,096
5. Step 5: Solve for x
   x = 7,321,198,096/41,558
6. Step 6: Final answer
   x = 176,168.20