Finding the Third Proportional to 413,325.75 and 585,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,325.75 : 585,016.50 = 585,016.50 : x
2. Step 2: Convert to fraction form
   413,325.75/585,016.50 = 585,016.50/x
3. Step 3: Cross multiply
   413,325.75x = 585,016.50 × 585,016.50
4. Step 4: Simplify right side
   413,325.75x = 342,244,305,272.25
5. Step 5: Solve for x
   x = 342,244,305,272.25/413,325.75
6. Step 6: Final answer
   x = 828,025.61