Finding the Third Proportional to 333,654.19 and 409,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   333,654.19 : 409,105.69 = 409,105.69 : x
2. Step 2: Convert to fraction form
   333,654.19/409,105.69 = 409,105.69/x
3. Step 3: Cross multiply
   333,654.19x = 409,105.69 × 409,105.69
4. Step 4: Simplify right side
   333,654.19x = 167,367,463,544.85
5. Step 5: Solve for x
   x = 167,367,463,544.85/333,654.19
6. Step 6: Final answer
   x = 501,619.55