Finding the Third Proportional to 282,602 and 423,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,602 : 423,907.50 = 423,907.50 : x
2. Step 2: Convert to fraction form
   282,602/423,907.50 = 423,907.50/x
3. Step 3: Cross multiply
   282,602x = 423,907.50 × 423,907.50
4. Step 4: Simplify right side
   282,602x = 179,697,568,556.25
5. Step 5: Solve for x
   x = 179,697,568,556.25/282,602
6. Step 6: Final answer
   x = 635,868.00