Finding the Third Proportional to 778 and 1,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   778 : 1,273.50 = 1,273.50 : x
2. Step 2: Convert to fraction form
   778/1,273.50 = 1,273.50/x
3. Step 3: Cross multiply
   778x = 1,273.50 × 1,273.50
4. Step 4: Simplify right side
   778x = 1,621,802.25
5. Step 5: Solve for x
   x = 1,621,802.25/778
6. Step 6: Final answer
   x = 2,084.58