Finding the Third Proportional to 214,216 and 465,304

Step by Step Solution

1. Step 1: Write the proportion equation
   214,216 : 465,304 = 465,304 : x
2. Step 2: Convert to fraction form
   214,216/465,304 = 465,304/x
3. Step 3: Cross multiply
   214,216x = 465,304 × 465,304
4. Step 4: Simplify right side
   214,216x = 216,507,812,416
5. Step 5: Solve for x
   x = 216,507,812,416/214,216
6. Step 6: Final answer
   x = 1,010,698.61