Finding the Third Proportional to 139,540 and 286,424

Step by Step Solution

1. Step 1: Write the proportion equation
   139,540 : 286,424 = 286,424 : x
2. Step 2: Convert to fraction form
   139,540/286,424 = 286,424/x
3. Step 3: Cross multiply
   139,540x = 286,424 × 286,424
4. Step 4: Simplify right side
   139,540x = 82,038,707,776
5. Step 5: Solve for x
   x = 82,038,707,776/139,540
6. Step 6: Final answer
   x = 587,922.52