Finding the Third Proportional to 120,666 and 158,676

Step by Step Solution

1. Step 1: Write the proportion equation
   120,666 : 158,676 = 158,676 : x
2. Step 2: Convert to fraction form
   120,666/158,676 = 158,676/x
3. Step 3: Cross multiply
   120,666x = 158,676 × 158,676
4. Step 4: Simplify right side
   120,666x = 25,178,072,976
5. Step 5: Solve for x
   x = 25,178,072,976/120,666
6. Step 6: Final answer
   x = 208,659.22