Finding the Third Proportional to 388,766 and 580,150

Step by Step Solution

1. Step 1: Write the proportion equation
   388,766 : 580,150 = 580,150 : x
2. Step 2: Convert to fraction form
   388,766/580,150 = 580,150/x
3. Step 3: Cross multiply
   388,766x = 580,150 × 580,150
4. Step 4: Simplify right side
   388,766x = 336,574,022,500
5. Step 5: Solve for x
   x = 336,574,022,500/388,766
6. Step 6: Final answer
   x = 865,749.63