Finding the Third Proportional to 120,673 and 158,685

Step by Step Solution

1. Step 1: Write the proportion equation
   120,673 : 158,685 = 158,685 : x
2. Step 2: Convert to fraction form
   120,673/158,685 = 158,685/x
3. Step 3: Cross multiply
   120,673x = 158,685 × 158,685
4. Step 4: Simplify right side
   120,673x = 25,180,929,225
5. Step 5: Solve for x
   x = 25,180,929,225/120,673
6. Step 6: Final answer
   x = 208,670.78