Finding the Third Proportional to 262,644 and 393,870

Step by Step Solution

1. Step 1: Write the proportion equation
   262,644 : 393,870 = 393,870 : x
2. Step 2: Convert to fraction form
   262,644/393,870 = 393,870/x
3. Step 3: Cross multiply
   262,644x = 393,870 × 393,870
4. Step 4: Simplify right side
   262,644x = 155,133,576,900
5. Step 5: Solve for x
   x = 155,133,576,900/262,644
6. Step 6: Final answer
   x = 590,661.04