Finding the Third Proportional to 502,477.50 and 682,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   502,477.50 : 682,327.50 = 682,327.50 : x
2. Step 2: Convert to fraction form
   502,477.50/682,327.50 = 682,327.50/x
3. Step 3: Cross multiply
   502,477.50x = 682,327.50 × 682,327.50
4. Step 4: Simplify right side
   502,477.50x = 465,570,817,256.25
5. Step 5: Solve for x
   x = 465,570,817,256.25/502,477.50
6. Step 6: Final answer
   x = 926,550.58