Finding the Third Proportional to 282,960 and 428,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   282,960 : 428,096.25 = 428,096.25 : x
2. Step 2: Convert to fraction form
   282,960/428,096.25 = 428,096.25/x
3. Step 3: Cross multiply
   282,960x = 428,096.25 × 428,096.25
4. Step 4: Simplify right side
   282,960x = 183,266,399,264.06
5. Step 5: Solve for x
   x = 183,266,399,264.06/282,960
6. Step 6: Final answer
   x = 647,675.99