Finding the Third Proportional to 144,771 and 208,852

Step by Step Solution

1. Step 1: Write the proportion equation
   144,771 : 208,852 = 208,852 : x
2. Step 2: Convert to fraction form
   144,771/208,852 = 208,852/x
3. Step 3: Cross multiply
   144,771x = 208,852 × 208,852
4. Step 4: Simplify right side
   144,771x = 43,619,157,904
5. Step 5: Solve for x
   x = 43,619,157,904/144,771
6. Step 6: Final answer
   x = 301,297.62