Finding the Third Proportional to 386,020 and 585,590

Step by Step Solution

1. Step 1: Write the proportion equation
   386,020 : 585,590 = 585,590 : x
2. Step 2: Convert to fraction form
   386,020/585,590 = 585,590/x
3. Step 3: Cross multiply
   386,020x = 585,590 × 585,590
4. Step 4: Simplify right side
   386,020x = 342,915,648,100
5. Step 5: Solve for x
   x = 342,915,648,100/386,020
6. Step 6: Final answer
   x = 888,336.48