Finding the Third Proportional to 76,608 and 158,521

Step by Step Solution

1. Step 1: Write the proportion equation
   76,608 : 158,521 = 158,521 : x
2. Step 2: Convert to fraction form
   76,608/158,521 = 158,521/x
3. Step 3: Cross multiply
   76,608x = 158,521 × 158,521
4. Step 4: Simplify right side
   76,608x = 25,128,907,441
5. Step 5: Solve for x
   x = 25,128,907,441/76,608
6. Step 6: Final answer
   x = 328,019.36