Finding the Third Proportional to 65.85 and 145.59

Step by Step Solution

1. Step 1: Write the proportion equation
   65.85 : 145.59 = 145.59 : x
2. Step 2: Convert to fraction form
   65.85/145.59 = 145.59/x
3. Step 3: Cross multiply
   65.85x = 145.59 × 145.59
4. Step 4: Simplify right side
   65.85x = 21,195.41
5. Step 5: Solve for x
   x = 21,195.41/65.85
6. Step 6: Final answer
   x = 321.86