Finding the Third Proportional to 65.25 and 146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65.25 : 146.25 = 146.25 : x
2. Step 2: Convert to fraction form
   65.25/146.25 = 146.25/x
3. Step 3: Cross multiply
   65.25x = 146.25 × 146.25
4. Step 4: Simplify right side
   65.25x = 21,389.06
5. Step 5: Solve for x
   x = 21,389.06/65.25
6. Step 6: Final answer
   x = 327.80