Finding the Third Proportional to 282,096 and 412,333.88

Step by Step Solution

1. Step 1: Write the proportion equation
   282,096 : 412,333.88 = 412,333.88 : x
2. Step 2: Convert to fraction form
   282,096/412,333.88 = 412,333.88/x
3. Step 3: Cross multiply
   282,096x = 412,333.88 × 412,333.88
4. Step 4: Simplify right side
   282,096x = 170,019,224,472.52
5. Step 5: Solve for x
   x = 170,019,224,472.52/282,096
6. Step 6: Final answer
   x = 602,699.88