Finding the Third Proportional to 213,022 and 334,162

Step by Step Solution

1. Step 1: Write the proportion equation
   213,022 : 334,162 = 334,162 : x
2. Step 2: Convert to fraction form
   213,022/334,162 = 334,162/x
3. Step 3: Cross multiply
   213,022x = 334,162 × 334,162
4. Step 4: Simplify right side
   213,022x = 111,664,242,244
5. Step 5: Solve for x
   x = 111,664,242,244/213,022
6. Step 6: Final answer
   x = 524,191.13