Finding the Third Proportional to 262,429.50 and 393,576

Step by Step Solution

1. Step 1: Write the proportion equation
   262,429.50 : 393,576 = 393,576 : x
2. Step 2: Convert to fraction form
   262,429.50/393,576 = 393,576/x
3. Step 3: Cross multiply
   262,429.50x = 393,576 × 393,576
4. Step 4: Simplify right side
   262,429.50x = 154,902,067,776
5. Step 5: Solve for x
   x = 154,902,067,776/262,429.50
6. Step 6: Final answer
   x = 590,261.64