Finding the Third Proportional to 596.76 and 779.72

Step by Step Solution

1. Step 1: Write the proportion equation
   596.76 : 779.72 = 779.72 : x
2. Step 2: Convert to fraction form
   596.76/779.72 = 779.72/x
3. Step 3: Cross multiply
   596.76x = 779.72 × 779.72
4. Step 4: Simplify right side
   596.76x = 607,969.32
5. Step 5: Solve for x
   x = 607,969.32/596.76
6. Step 6: Final answer
   x = 1,018.78