Finding the Third Proportional to 502,426 and 682,248

Step by Step Solution

1. Step 1: Write the proportion equation
   502,426 : 682,248 = 682,248 : x
2. Step 2: Convert to fraction form
   502,426/682,248 = 682,248/x
3. Step 3: Cross multiply
   502,426x = 682,248 × 682,248
4. Step 4: Simplify right side
   502,426x = 465,462,333,504
5. Step 5: Solve for x
   x = 465,462,333,504/502,426
6. Step 6: Final answer
   x = 926,429.63