Finding the Third Proportional to 85,721 and 175,618

Step by Step Solution

1. Step 1: Write the proportion equation
   85,721 : 175,618 = 175,618 : x
2. Step 2: Convert to fraction form
   85,721/175,618 = 175,618/x
3. Step 3: Cross multiply
   85,721x = 175,618 × 175,618
4. Step 4: Simplify right side
   85,721x = 30,841,681,924
5. Step 5: Solve for x
   x = 30,841,681,924/85,721
6. Step 6: Final answer
   x = 359,791.44