Finding the Third Proportional to 216.56 and 468.56

Step by Step Solution

1. Step 1: Write the proportion equation
   216.56 : 468.56 = 468.56 : x
2. Step 2: Convert to fraction form
   216.56/468.56 = 468.56/x
3. Step 3: Cross multiply
   216.56x = 468.56 × 468.56
4. Step 4: Simplify right side
   216.56x = 219,550.82
5. Step 5: Solve for x
   x = 219,550.82/216.56
6. Step 6: Final answer
   x = 1,013.80