Finding the Third Proportional to 200,589.75 and 410,401.69

Step by Step Solution

1. Step 1: Write the proportion equation
   200,589.75 : 410,401.69 = 410,401.69 : x
2. Step 2: Convert to fraction form
   200,589.75/410,401.69 = 410,401.69/x
3. Step 3: Cross multiply
   200,589.75x = 410,401.69 × 410,401.69
4. Step 4: Simplify right side
   200,589.75x = 168,429,545,102.85
5. Step 5: Solve for x
   x = 168,429,545,102.85/200,589.75
6. Step 6: Final answer
   x = 839,671.74