Finding the Third Proportional to 210,216 and 461,304

Step by Step Solution

1. Step 1: Write the proportion equation
   210,216 : 461,304 = 461,304 : x
2. Step 2: Convert to fraction form
   210,216/461,304 = 461,304/x
3. Step 3: Cross multiply
   210,216x = 461,304 × 461,304
4. Step 4: Simplify right side
   210,216x = 212,801,380,416
5. Step 5: Solve for x
   x = 212,801,380,416/210,216
6. Step 6: Final answer
   x = 1,012,298.69