Finding the Third Proportional to 282,432 and 588,096

Step by Step Solution

1. Step 1: Write the proportion equation
   282,432 : 588,096 = 588,096 : x
2. Step 2: Convert to fraction form
   282,432/588,096 = 588,096/x
3. Step 3: Cross multiply
   282,432x = 588,096 × 588,096
4. Step 4: Simplify right side
   282,432x = 345,856,905,216
5. Step 5: Solve for x
   x = 345,856,905,216/282,432
6. Step 6: Final answer
   x = 1,224,566.99