Finding the Third Proportional to 386,559 and 585,185.63

Step by Step Solution

1. Step 1: Write the proportion equation
   386,559 : 585,185.63 = 585,185.63 : x
2. Step 2: Convert to fraction form
   386,559/585,185.63 = 585,185.63/x
3. Step 3: Cross multiply
   386,559x = 585,185.63 × 585,185.63
4. Step 4: Simplify right side
   386,559x = 342,442,215,706.64
5. Step 5: Solve for x
   x = 342,442,215,706.64/386,559
6. Step 6: Final answer
   x = 885,873.09