Finding the Third Proportional to 76,815 and 158,960

Step by Step Solution

1. Step 1: Write the proportion equation
   76,815 : 158,960 = 158,960 : x
2. Step 2: Convert to fraction form
   76,815/158,960 = 158,960/x
3. Step 3: Cross multiply
   76,815x = 158,960 × 158,960
4. Step 4: Simplify right side
   76,815x = 25,268,281,600
5. Step 5: Solve for x
   x = 25,268,281,600/76,815
6. Step 6: Final answer
   x = 328,949.84