Finding the Third Proportional to 262,365 and 414,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   262,365 : 414,789.75 = 414,789.75 : x
2. Step 2: Convert to fraction form
   262,365/414,789.75 = 414,789.75/x
3. Step 3: Cross multiply
   262,365x = 414,789.75 × 414,789.75
4. Step 4: Simplify right side
   262,365x = 172,050,536,705.06
5. Step 5: Solve for x
   x = 172,050,536,705.06/262,365
6. Step 6: Final answer
   x = 655,767.87