Finding the Third Proportional to 213,948 and 339,066

Step by Step Solution

1. Step 1: Write the proportion equation
   213,948 : 339,066 = 339,066 : x
2. Step 2: Convert to fraction form
   213,948/339,066 = 339,066/x
3. Step 3: Cross multiply
   213,948x = 339,066 × 339,066
4. Step 4: Simplify right side
   213,948x = 114,965,752,356
5. Step 5: Solve for x
   x = 114,965,752,356/213,948
6. Step 6: Final answer
   x = 537,353.71