Finding the Third Proportional to 120,670 and 158,680

Step by Step Solution

1. Step 1: Write the proportion equation
   120,670 : 158,680 = 158,680 : x
2. Step 2: Convert to fraction form
   120,670/158,680 = 158,680/x
3. Step 3: Cross multiply
   120,670x = 158,680 × 158,680
4. Step 4: Simplify right side
   120,670x = 25,179,342,400
5. Step 5: Solve for x
   x = 25,179,342,400/120,670
6. Step 6: Final answer
   x = 208,662.82