Finding the Third Proportional to 413,385.75 and 585,099

Step by Step Solution

1. Step 1: Write the proportion equation
   413,385.75 : 585,099 = 585,099 : x
2. Step 2: Convert to fraction form
   413,385.75/585,099 = 585,099/x
3. Step 3: Cross multiply
   413,385.75x = 585,099 × 585,099
4. Step 4: Simplify right side
   413,385.75x = 342,340,839,801
5. Step 5: Solve for x
   x = 342,340,839,801/413,385.75
6. Step 6: Final answer
   x = 828,138.95