Finding the Third Proportional to 213,388 and 466,952

Step by Step Solution

1. Step 1: Write the proportion equation
   213,388 : 466,952 = 466,952 : x
2. Step 2: Convert to fraction form
   213,388/466,952 = 466,952/x
3. Step 3: Cross multiply
   213,388x = 466,952 × 466,952
4. Step 4: Simplify right side
   213,388x = 218,044,170,304
5. Step 5: Solve for x
   x = 218,044,170,304/213,388
6. Step 6: Final answer
   x = 1,021,820.21