Finding the Third Proportional to 584,238 and 882,678

Step by Step Solution

1. Step 1: Write the proportion equation
   584,238 : 882,678 = 882,678 : x
2. Step 2: Convert to fraction form
   584,238/882,678 = 882,678/x
3. Step 3: Cross multiply
   584,238x = 882,678 × 882,678
4. Step 4: Simplify right side
   584,238x = 779,120,451,684
5. Step 5: Solve for x
   x = 779,120,451,684/584,238
6. Step 6: Final answer
   x = 1,333,566.89