Finding the Third Proportional to 185,037 and 384,618

Step by Step Solution

1. Step 1: Write the proportion equation
   185,037 : 384,618 = 384,618 : x
2. Step 2: Convert to fraction form
   185,037/384,618 = 384,618/x
3. Step 3: Cross multiply
   185,037x = 384,618 × 384,618
4. Step 4: Simplify right side
   185,037x = 147,931,005,924
5. Step 5: Solve for x
   x = 147,931,005,924/185,037
6. Step 6: Final answer
   x = 799,467.17