Finding the Third Proportional to 559.31 and 832.69

Step by Step Solution

1. Step 1: Write the proportion equation
   559.31 : 832.69 = 832.69 : x
2. Step 2: Convert to fraction form
   559.31/832.69 = 832.69/x
3. Step 3: Cross multiply
   559.31x = 832.69 × 832.69
4. Step 4: Simplify right side
   559.31x = 693,368.47
5. Step 5: Solve for x
   x = 693,368.47/559.31
6. Step 6: Final answer
   x = 1,239.68