Finding the Third Proportional to 142,296 and 213,822

Step by Step Solution

1. Step 1: Write the proportion equation
   142,296 : 213,822 = 213,822 : x
2. Step 2: Convert to fraction form
   142,296/213,822 = 213,822/x
3. Step 3: Cross multiply
   142,296x = 213,822 × 213,822
4. Step 4: Simplify right side
   142,296x = 45,719,847,684
5. Step 5: Solve for x
   x = 45,719,847,684/142,296
6. Step 6: Final answer
   x = 321,301.00