Finding the Third Proportional to 401,174 and 865,042

Step by Step Solution

1. Step 1: Write the proportion equation
   401,174 : 865,042 = 865,042 : x
2. Step 2: Convert to fraction form
   401,174/865,042 = 865,042/x
3. Step 3: Cross multiply
   401,174x = 865,042 × 865,042
4. Step 4: Simplify right side
   401,174x = 748,297,661,764
5. Step 5: Solve for x
   x = 748,297,661,764/401,174
6. Step 6: Final answer
   x = 1,865,269.59