Finding the Third Proportional to 406,984 and 884,004

Step by Step Solution

1. Step 1: Write the proportion equation
   406,984 : 884,004 = 884,004 : x
2. Step 2: Convert to fraction form
   406,984/884,004 = 884,004/x
3. Step 3: Cross multiply
   406,984x = 884,004 × 884,004
4. Step 4: Simplify right side
   406,984x = 781,463,072,016
5. Step 5: Solve for x
   x = 781,463,072,016/406,984
6. Step 6: Final answer
   x = 1,920,132.17