Finding the Third Proportional to 384,174 and 555,016

Step by Step Solution

1. Step 1: Write the proportion equation
   384,174 : 555,016 = 555,016 : x
2. Step 2: Convert to fraction form
   384,174/555,016 = 555,016/x
3. Step 3: Cross multiply
   384,174x = 555,016 × 555,016
4. Step 4: Simplify right side
   384,174x = 308,042,760,256
5. Step 5: Solve for x
   x = 308,042,760,256/384,174
6. Step 6: Final answer
   x = 801,831.36