Finding the Third Proportional to 321,662.25 and 687,498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   321,662.25 : 687,498.75 = 687,498.75 : x
2. Step 2: Convert to fraction form
   321,662.25/687,498.75 = 687,498.75/x
3. Step 3: Cross multiply
   321,662.25x = 687,498.75 × 687,498.75
4. Step 4: Simplify right side
   321,662.25x = 472,654,531,251.56
5. Step 5: Solve for x
   x = 472,654,531,251.56/321,662.25
6. Step 6: Final answer
   x = 1,469,412.50