Finding the Third Proportional to 208,978 and 458,016

Step by Step Solution

1. Step 1: Write the proportion equation
   208,978 : 458,016 = 458,016 : x
2. Step 2: Convert to fraction form
   208,978/458,016 = 458,016/x
3. Step 3: Cross multiply
   208,978x = 458,016 × 458,016
4. Step 4: Simplify right side
   208,978x = 209,778,656,256
5. Step 5: Solve for x
   x = 209,778,656,256/208,978
6. Step 6: Final answer
   x = 1,003,831.29