Finding the Third Proportional to 120,638 and 158,638

Step by Step Solution

1. Step 1: Write the proportion equation
   120,638 : 158,638 = 158,638 : x
2. Step 2: Convert to fraction form
   120,638/158,638 = 158,638/x
3. Step 3: Cross multiply
   120,638x = 158,638 × 158,638
4. Step 4: Simplify right side
   120,638x = 25,166,015,044
5. Step 5: Solve for x
   x = 25,166,015,044/120,638
6. Step 6: Final answer
   x = 208,607.69