Finding the Third Proportional to 120,640 and 158,640

Step by Step Solution

1. Step 1: Write the proportion equation
   120,640 : 158,640 = 158,640 : x
2. Step 2: Convert to fraction form
   120,640/158,640 = 158,640/x
3. Step 3: Cross multiply
   120,640x = 158,640 × 158,640
4. Step 4: Simplify right side
   120,640x = 25,166,649,600
5. Step 5: Solve for x
   x = 25,166,649,600/120,640
6. Step 6: Final answer
   x = 208,609.50