Finding the Third Proportional to 282,238 and 402,337

Step by Step Solution

1. Step 1: Write the proportion equation
   282,238 : 402,337 = 402,337 : x
2. Step 2: Convert to fraction form
   282,238/402,337 = 402,337/x
3. Step 3: Cross multiply
   282,238x = 402,337 × 402,337
4. Step 4: Simplify right side
   282,238x = 161,875,061,569
5. Step 5: Solve for x
   x = 161,875,061,569/282,238
6. Step 6: Final answer
   x = 573,540.99