Finding the Third Proportional to 141.50 and 214.56

Step by Step Solution

1. Step 1: Write the proportion equation
   141.50 : 214.56 = 214.56 : x
2. Step 2: Convert to fraction form
   141.50/214.56 = 214.56/x
3. Step 3: Cross multiply
   141.50x = 214.56 × 214.56
4. Step 4: Simplify right side
   141.50x = 46,037.07
5. Step 5: Solve for x
   x = 46,037.07/141.50
6. Step 6: Final answer
   x = 325.35