Finding the Third Proportional to 584,144 and 884,014

Step by Step Solution

1. Step 1: Write the proportion equation
   584,144 : 884,014 = 884,014 : x
2. Step 2: Convert to fraction form
   584,144/884,014 = 884,014/x
3. Step 3: Cross multiply
   584,144x = 884,014 × 884,014
4. Step 4: Simplify right side
   584,144x = 781,480,752,196
5. Step 5: Solve for x
   x = 781,480,752,196/584,144
6. Step 6: Final answer
   x = 1,337,822.10