Finding the Third Proportional to 282,508 and 426,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,508 : 426,309.50 = 426,309.50 : x
2. Step 2: Convert to fraction form
   282,508/426,309.50 = 426,309.50/x
3. Step 3: Cross multiply
   282,508x = 426,309.50 × 426,309.50
4. Step 4: Simplify right side
   282,508x = 181,739,789,790.25
5. Step 5: Solve for x
   x = 181,739,789,790.25/282,508
6. Step 6: Final answer
   x = 643,308.47