Finding the Third Proportional to 404,722 and 584,706

Step by Step Solution

1. Step 1: Write the proportion equation
   404,722 : 584,706 = 584,706 : x
2. Step 2: Convert to fraction form
   404,722/584,706 = 584,706/x
3. Step 3: Cross multiply
   404,722x = 584,706 × 584,706
4. Step 4: Simplify right side
   404,722x = 341,881,106,436
5. Step 5: Solve for x
   x = 341,881,106,436/404,722
6. Step 6: Final answer
   x = 844,730.72