Finding the Third Proportional to 282,380 and 620,056

Step by Step Solution

1. Step 1: Write the proportion equation
   282,380 : 620,056 = 620,056 : x
2. Step 2: Convert to fraction form
   282,380/620,056 = 620,056/x
3. Step 3: Cross multiply
   282,380x = 620,056 × 620,056
4. Step 4: Simplify right side
   282,380x = 384,469,443,136
5. Step 5: Solve for x
   x = 384,469,443,136/282,380
6. Step 6: Final answer
   x = 1,361,532.13