Finding the Third Proportional to 82,164 and 172,618

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164 : 172,618 = 172,618 : x
2. Step 2: Convert to fraction form
   82,164/172,618 = 172,618/x
3. Step 3: Cross multiply
   82,164x = 172,618 × 172,618
4. Step 4: Simplify right side
   82,164x = 29,796,973,924
5. Step 5: Solve for x
   x = 29,796,973,924/82,164
6. Step 6: Final answer
   x = 362,652.43