Finding the Third Proportional to 611.30 and 826.77

Step by Step Solution

1. Step 1: Write the proportion equation
   611.30 : 826.77 = 826.77 : x
2. Step 2: Convert to fraction form
   611.30/826.77 = 826.77/x
3. Step 3: Cross multiply
   611.30x = 826.77 × 826.77
4. Step 4: Simplify right side
   611.30x = 683,547.86
5. Step 5: Solve for x
   x = 683,547.86/611.30
6. Step 6: Final answer
   x = 1,118.19