Finding the Third Proportional to 78,009 and 162,016

Step by Step Solution

1. Step 1: Write the proportion equation
   78,009 : 162,016 = 162,016 : x
2. Step 2: Convert to fraction form
   78,009/162,016 = 162,016/x
3. Step 3: Cross multiply
   78,009x = 162,016 × 162,016
4. Step 4: Simplify right side
   78,009x = 26,249,184,256
5. Step 5: Solve for x
   x = 26,249,184,256/78,009
6. Step 6: Final answer
   x = 336,489.18