Finding the Third Proportional to 406,264 and 865,016

Step by Step Solution

1. Step 1: Write the proportion equation
   406,264 : 865,016 = 865,016 : x
2. Step 2: Convert to fraction form
   406,264/865,016 = 865,016/x
3. Step 3: Cross multiply
   406,264x = 865,016 × 865,016
4. Step 4: Simplify right side
   406,264x = 748,252,680,256
5. Step 5: Solve for x
   x = 748,252,680,256/406,264
6. Step 6: Final answer
   x = 1,841,789.28