Finding the Third Proportional to 413,338.50 and 585,036

Step by Step Solution

1. Step 1: Write the proportion equation
   413,338.50 : 585,036 = 585,036 : x
2. Step 2: Convert to fraction form
   413,338.50/585,036 = 585,036/x
3. Step 3: Cross multiply
   413,338.50x = 585,036 × 585,036
4. Step 4: Simplify right side
   413,338.50x = 342,267,121,296
5. Step 5: Solve for x
   x = 342,267,121,296/413,338.50
6. Step 6: Final answer
   x = 828,055.27