Finding the Third Proportional to 65.25 and 158.48

Step by Step Solution

1. Step 1: Write the proportion equation
   65.25 : 158.48 = 158.48 : x
2. Step 2: Convert to fraction form
   65.25/158.48 = 158.48/x
3. Step 3: Cross multiply
   65.25x = 158.48 × 158.48
4. Step 4: Simplify right side
   65.25x = 25,117.30
5. Step 5: Solve for x
   x = 25,117.30/65.25
6. Step 6: Final answer
   x = 384.94