Finding the Third Proportional to 262,606.50 and 405,555

Step by Step Solution

1. Step 1: Write the proportion equation
   262,606.50 : 405,555 = 405,555 : x
2. Step 2: Convert to fraction form
   262,606.50/405,555 = 405,555/x
3. Step 3: Cross multiply
   262,606.50x = 405,555 × 405,555
4. Step 4: Simplify right side
   262,606.50x = 164,474,858,025
5. Step 5: Solve for x
   x = 164,474,858,025/262,606.50
6. Step 6: Final answer
   x = 626,316.78