Finding the Third Proportional to 120,654 and 158,661

Step by Step Solution

1. Step 1: Write the proportion equation
   120,654 : 158,661 = 158,661 : x
2. Step 2: Convert to fraction form
   120,654/158,661 = 158,661/x
3. Step 3: Cross multiply
   120,654x = 158,661 × 158,661
4. Step 4: Simplify right side
   120,654x = 25,173,312,921
5. Step 5: Solve for x
   x = 25,173,312,921/120,654
6. Step 6: Final answer
   x = 208,640.52