Finding the Third Proportional to 146.56 and 212.31

Step by Step Solution

1. Step 1: Write the proportion equation
   146.56 : 212.31 = 212.31 : x
2. Step 2: Convert to fraction form
   146.56/212.31 = 212.31/x
3. Step 3: Cross multiply
   146.56x = 212.31 × 212.31
4. Step 4: Simplify right side
   146.56x = 45,076.60
5. Step 5: Solve for x
   x = 45,076.60/146.56
6. Step 6: Final answer
   x = 307.56