Finding the Third Proportional to 173.53 and 233.86

Step by Step Solution

1. Step 1: Write the proportion equation
   173.53 : 233.86 = 233.86 : x
2. Step 2: Convert to fraction form
   173.53/233.86 = 233.86/x
3. Step 3: Cross multiply
   173.53x = 233.86 × 233.86
4. Step 4: Simplify right side
   173.53x = 54,690.21
5. Step 5: Solve for x
   x = 54,690.21/173.53
6. Step 6: Final answer
   x = 315.16