Finding the Third Proportional to 213,972 and 331,144

Step by Step Solution

1. Step 1: Write the proportion equation
   213,972 : 331,144 = 331,144 : x
2. Step 2: Convert to fraction form
   213,972/331,144 = 331,144/x
3. Step 3: Cross multiply
   213,972x = 331,144 × 331,144
4. Step 4: Simplify right side
   213,972x = 109,656,348,736
5. Step 5: Solve for x
   x = 109,656,348,736/213,972
6. Step 6: Final answer
   x = 512,479.90