Finding the Third Proportional to 262,740 and 407,604

Step by Step Solution

1. Step 1: Write the proportion equation
   262,740 : 407,604 = 407,604 : x
2. Step 2: Convert to fraction form
   262,740/407,604 = 407,604/x
3. Step 3: Cross multiply
   262,740x = 407,604 × 407,604
4. Step 4: Simplify right side
   262,740x = 166,141,020,816
5. Step 5: Solve for x
   x = 166,141,020,816/262,740
6. Step 6: Final answer
   x = 632,340.04