Finding the Third Proportional to 179,986 and 382,162

Step by Step Solution

1. Step 1: Write the proportion equation
   179,986 : 382,162 = 382,162 : x
2. Step 2: Convert to fraction form
   179,986/382,162 = 382,162/x
3. Step 3: Cross multiply
   179,986x = 382,162 × 382,162
4. Step 4: Simplify right side
   179,986x = 146,047,794,244
5. Step 5: Solve for x
   x = 146,047,794,244/179,986
6. Step 6: Final answer
   x = 811,439.75