Finding the Third Proportional to 282,576 and 423,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,576 : 423,868.50 = 423,868.50 : x
2. Step 2: Convert to fraction form
   282,576/423,868.50 = 423,868.50/x
3. Step 3: Cross multiply
   282,576x = 423,868.50 × 423,868.50
4. Step 4: Simplify right side
   282,576x = 179,664,505,292.25
5. Step 5: Solve for x
   x = 179,664,505,292.25/282,576
6. Step 6: Final answer
   x = 635,809.50