Finding the Third Proportional to 300,212 and 456,504

Step by Step Solution

1. Step 1: Write the proportion equation
   300,212 : 456,504 = 456,504 : x
2. Step 2: Convert to fraction form
   300,212/456,504 = 456,504/x
3. Step 3: Cross multiply
   300,212x = 456,504 × 456,504
4. Step 4: Simplify right side
   300,212x = 208,395,902,016
5. Step 5: Solve for x
   x = 208,395,902,016/300,212
6. Step 6: Final answer
   x = 694,162.47