Finding the Third Proportional to 404,726 and 584,712

Step by Step Solution

1. Step 1: Write the proportion equation
   404,726 : 584,712 = 584,712 : x
2. Step 2: Convert to fraction form
   404,726/584,712 = 584,712/x
3. Step 3: Cross multiply
   404,726x = 584,712 × 584,712
4. Step 4: Simplify right side
   404,726x = 341,888,122,944
5. Step 5: Solve for x
   x = 341,888,122,944/404,726
6. Step 6: Final answer
   x = 844,739.71