Finding the Third Proportional to 394,765 and 585,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,765 : 585,343.50 = 585,343.50 : x
2. Step 2: Convert to fraction form
   394,765/585,343.50 = 585,343.50/x
3. Step 3: Cross multiply
   394,765x = 585,343.50 × 585,343.50
4. Step 4: Simplify right side
   394,765x = 342,627,012,992.25
5. Step 5: Solve for x
   x = 342,627,012,992.25/394,765
6. Step 6: Final answer
   x = 867,926.52