Finding the Third Proportional to 949.78 and 1,300.78

Step by Step Solution

1. Step 1: Write the proportion equation
   949.78 : 1,300.78 = 1,300.78 : x
2. Step 2: Convert to fraction form
   949.78/1,300.78 = 1,300.78/x
3. Step 3: Cross multiply
   949.78x = 1,300.78 × 1,300.78
4. Step 4: Simplify right side
   949.78x = 1,692,031.86
5. Step 5: Solve for x
   x = 1,692,031.86/949.78
6. Step 6: Final answer
   x = 1,781.50