Finding the Third Proportional to 214,922 and 331,404

Step by Step Solution

1. Step 1: Write the proportion equation
   214,922 : 331,404 = 331,404 : x
2. Step 2: Convert to fraction form
   214,922/331,404 = 331,404/x
3. Step 3: Cross multiply
   214,922x = 331,404 × 331,404
4. Step 4: Simplify right side
   214,922x = 109,828,611,216
5. Step 5: Solve for x
   x = 109,828,611,216/214,922
6. Step 6: Final answer
   x = 511,016.14