Finding the Third Proportional to 514.31 and 795.56

Step by Step Solution

1. Step 1: Write the proportion equation
   514.31 : 795.56 = 795.56 : x
2. Step 2: Convert to fraction form
   514.31/795.56 = 795.56/x
3. Step 3: Cross multiply
   514.31x = 795.56 × 795.56
4. Step 4: Simplify right side
   514.31x = 632,919.69
5. Step 5: Solve for x
   x = 632,919.69/514.31
6. Step 6: Final answer
   x = 1,230.61