Finding the Third Proportional to 211,809 and 456,162

Step by Step Solution

1. Step 1: Write the proportion equation
   211,809 : 456,162 = 456,162 : x
2. Step 2: Convert to fraction form
   211,809/456,162 = 456,162/x
3. Step 3: Cross multiply
   211,809x = 456,162 × 456,162
4. Step 4: Simplify right side
   211,809x = 208,083,770,244
5. Step 5: Solve for x
   x = 208,083,770,244/211,809
6. Step 6: Final answer
   x = 982,412.32