Finding the Third Proportional to 208,828 and 407,144

Step by Step Solution

1. Step 1: Write the proportion equation
   208,828 : 407,144 = 407,144 : x
2. Step 2: Convert to fraction form
   208,828/407,144 = 407,144/x
3. Step 3: Cross multiply
   208,828x = 407,144 × 407,144
4. Step 4: Simplify right side
   208,828x = 165,766,236,736
5. Step 5: Solve for x
   x = 165,766,236,736/208,828
6. Step 6: Final answer
   x = 793,793.15