Finding the Third Proportional to 65.06 and 155.06

Step by Step Solution

1. Step 1: Write the proportion equation
   65.06 : 155.06 = 155.06 : x
2. Step 2: Convert to fraction form
   65.06/155.06 = 155.06/x
3. Step 3: Cross multiply
   65.06x = 155.06 × 155.06
4. Step 4: Simplify right side
   65.06x = 24,044.38
5. Step 5: Solve for x
   x = 24,044.38/65.06
6. Step 6: Final answer
   x = 369.56