Finding the Third Proportional to 156.38 and 233.69

Step by Step Solution

1. Step 1: Write the proportion equation
   156.38 : 233.69 = 233.69 : x
2. Step 2: Convert to fraction form
   156.38/233.69 = 233.69/x
3. Step 3: Cross multiply
   156.38x = 233.69 × 233.69
4. Step 4: Simplify right side
   156.38x = 54,609.85
5. Step 5: Solve for x
   x = 54,609.85/156.38
6. Step 6: Final answer
   x = 349.22