Finding the Third Proportional to 470.50 and 783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   470.50 : 783.50 = 783.50 : x
2. Step 2: Convert to fraction form
   470.50/783.50 = 783.50/x
3. Step 3: Cross multiply
   470.50x = 783.50 × 783.50
4. Step 4: Simplify right side
   470.50x = 613,872.25
5. Step 5: Solve for x
   x = 613,872.25/470.50
6. Step 6: Final answer
   x = 1,304.72