Finding the Third Proportional to 118,676 and 158,530

Step by Step Solution

1. Step 1: Write the proportion equation
   118,676 : 158,530 = 158,530 : x
2. Step 2: Convert to fraction form
   118,676/158,530 = 158,530/x
3. Step 3: Cross multiply
   118,676x = 158,530 × 158,530
4. Step 4: Simplify right side
   118,676x = 25,131,760,900
5. Step 5: Solve for x
   x = 25,131,760,900/118,676
6. Step 6: Final answer
   x = 211,767.85