Finding the Third Proportional to 85,038 and 185,618

Step by Step Solution

1. Step 1: Write the proportion equation
   85,038 : 185,618 = 185,618 : x
2. Step 2: Convert to fraction form
   85,038/185,618 = 185,618/x
3. Step 3: Cross multiply
   85,038x = 185,618 × 185,618
4. Step 4: Simplify right side
   85,038x = 34,454,041,924
5. Step 5: Solve for x
   x = 34,454,041,924/85,038
6. Step 6: Final answer
   x = 405,160.54