Finding the Third Proportional to 301,816.50 and 423,024

Step by Step Solution

1. Step 1: Write the proportion equation
   301,816.50 : 423,024 = 423,024 : x
2. Step 2: Convert to fraction form
   301,816.50/423,024 = 423,024/x
3. Step 3: Cross multiply
   301,816.50x = 423,024 × 423,024
4. Step 4: Simplify right side
   301,816.50x = 178,949,304,576
5. Step 5: Solve for x
   x = 178,949,304,576/301,816.50
6. Step 6: Final answer
   x = 592,907.63