Finding the Third Proportional to 208,008 and 405,648

Step by Step Solution

1. Step 1: Write the proportion equation
   208,008 : 405,648 = 405,648 : x
2. Step 2: Convert to fraction form
   208,008/405,648 = 405,648/x
3. Step 3: Cross multiply
   208,008x = 405,648 × 405,648
4. Step 4: Simplify right side
   208,008x = 164,550,299,904
5. Step 5: Solve for x
   x = 164,550,299,904/208,008
6. Step 6: Final answer
   x = 791,076.79