Finding the Third Proportional to 219.31 and 512.56

Step by Step Solution

1. Step 1: Write the proportion equation
   219.31 : 512.56 = 512.56 : x
2. Step 2: Convert to fraction form
   219.31/512.56 = 512.56/x
3. Step 3: Cross multiply
   219.31x = 512.56 × 512.56
4. Step 4: Simplify right side
   219.31x = 262,720.32
5. Step 5: Solve for x
   x = 262,720.32/219.31
6. Step 6: Final answer
   x = 1,197.93