Finding the Third Proportional to 772.03 and 940.78

Step by Step Solution

1. Step 1: Write the proportion equation
   772.03 : 940.78 = 940.78 : x
2. Step 2: Convert to fraction form
   772.03/940.78 = 940.78/x
3. Step 3: Cross multiply
   772.03x = 940.78 × 940.78
4. Step 4: Simplify right side
   772.03x = 885,069.36
5. Step 5: Solve for x
   x = 885,069.36/772.03
6. Step 6: Final answer
   x = 1,146.42