Finding the Third Proportional to 65.16 and 152.34

Step by Step Solution

1. Step 1: Write the proportion equation
   65.16 : 152.34 = 152.34 : x
2. Step 2: Convert to fraction form
   65.16/152.34 = 152.34/x
3. Step 3: Cross multiply
   65.16x = 152.34 × 152.34
4. Step 4: Simplify right side
   65.16x = 23,208.62
5. Step 5: Solve for x
   x = 23,208.62/65.16
6. Step 6: Final answer
   x = 356.20