Finding the Third Proportional to 383,228 and 580,144

Step by Step Solution

1. Step 1: Write the proportion equation
   383,228 : 580,144 = 580,144 : x
2. Step 2: Convert to fraction form
   383,228/580,144 = 580,144/x
3. Step 3: Cross multiply
   383,228x = 580,144 × 580,144
4. Step 4: Simplify right side
   383,228x = 336,567,060,736
5. Step 5: Solve for x
   x = 336,567,060,736/383,228
6. Step 6: Final answer
   x = 878,242.35