Finding the Third Proportional to 81,618 and 175,680

Step by Step Solution

1. Step 1: Write the proportion equation
   81,618 : 175,680 = 175,680 : x
2. Step 2: Convert to fraction form
   81,618/175,680 = 175,680/x
3. Step 3: Cross multiply
   81,618x = 175,680 × 175,680
4. Step 4: Simplify right side
   81,618x = 30,863,462,400
5. Step 5: Solve for x
   x = 30,863,462,400/81,618
6. Step 6: Final answer
   x = 378,145.29