Finding the Third Proportional to 413,380.13 and 585,091.69

Step by Step Solution

1. Step 1: Write the proportion equation
   413,380.13 : 585,091.69 = 585,091.69 : x
2. Step 2: Convert to fraction form
   413,380.13/585,091.69 = 585,091.69/x
3. Step 3: Cross multiply
   413,380.13x = 585,091.69 × 585,091.69
4. Step 4: Simplify right side
   413,380.13x = 342,332,282,781.60
5. Step 5: Solve for x
   x = 342,332,282,781.60/413,380.13
6. Step 6: Final answer
   x = 828,129.52