Finding the Third Proportional to 390,723 and 585,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   390,723 : 585,976.50 = 585,976.50 : x
2. Step 2: Convert to fraction form
   390,723/585,976.50 = 585,976.50/x
3. Step 3: Cross multiply
   390,723x = 585,976.50 × 585,976.50
4. Step 4: Simplify right side
   390,723x = 343,368,458,552.25
5. Step 5: Solve for x
   x = 343,368,458,552.25/390,723
6. Step 6: Final answer
   x = 878,802.78