Finding the Third Proportional to 715.78 and 949.78

Step by Step Solution

1. Step 1: Write the proportion equation
   715.78 : 949.78 = 949.78 : x
2. Step 2: Convert to fraction form
   715.78/949.78 = 949.78/x
3. Step 3: Cross multiply
   715.78x = 949.78 × 949.78
4. Step 4: Simplify right side
   715.78x = 902,084.42
5. Step 5: Solve for x
   x = 902,084.42/715.78
6. Step 6: Final answer
   x = 1,260.28