Finding the Third Proportional to 555.82 and 1,196.86

Step by Step Solution

1. Step 1: Write the proportion equation
   555.82 : 1,196.86 = 1,196.86 : x
2. Step 2: Convert to fraction form
   555.82/1,196.86 = 1,196.86/x
3. Step 3: Cross multiply
   555.82x = 1,196.86 × 1,196.86
4. Step 4: Simplify right side
   555.82x = 1,432,472.36
5. Step 5: Solve for x
   x = 1,432,472.36/555.82
6. Step 6: Final answer
   x = 2,577.22