Finding the Third Proportional to 779.88 and 1,111.88

Step by Step Solution

1. Step 1: Write the proportion equation
   779.88 : 1,111.88 = 1,111.88 : x
2. Step 2: Convert to fraction form
   779.88/1,111.88 = 1,111.88/x
3. Step 3: Cross multiply
   779.88x = 1,111.88 × 1,111.88
4. Step 4: Simplify right side
   779.88x = 1,236,266.02
5. Step 5: Solve for x
   x = 1,236,266.02/779.88
6. Step 6: Final answer
   x = 1,585.21