Finding the Third Proportional to 151.56 and 216.58

Step by Step Solution

1. Step 1: Write the proportion equation
   151.56 : 216.58 = 216.58 : x
2. Step 2: Convert to fraction form
   151.56/216.58 = 216.58/x
3. Step 3: Cross multiply
   151.56x = 216.58 × 216.58
4. Step 4: Simplify right side
   151.56x = 46,906.93
5. Step 5: Solve for x
   x = 46,906.93/151.56
6. Step 6: Final answer
   x = 309.50