Finding the Third Proportional to 120,636 and 158,636

Step by Step Solution

1. Step 1: Write the proportion equation
   120,636 : 158,636 = 158,636 : x
2. Step 2: Convert to fraction form
   120,636/158,636 = 158,636/x
3. Step 3: Cross multiply
   120,636x = 158,636 × 158,636
4. Step 4: Simplify right side
   120,636x = 25,165,380,496
5. Step 5: Solve for x
   x = 25,165,380,496/120,636
6. Step 6: Final answer
   x = 208,605.89