Finding the Third Proportional to 322,978 and 462,323

Step by Step Solution

1. Step 1: Write the proportion equation
   322,978 : 462,323 = 462,323 : x
2. Step 2: Convert to fraction form
   322,978/462,323 = 462,323/x
3. Step 3: Cross multiply
   322,978x = 462,323 × 462,323
4. Step 4: Simplify right side
   322,978x = 213,742,556,329
5. Step 5: Solve for x
   x = 213,742,556,329/322,978
6. Step 6: Final answer
   x = 661,786.74