Finding the Third Proportional to 177.31 and 233.31

Step by Step Solution

1. Step 1: Write the proportion equation
   177.31 : 233.31 = 233.31 : x
2. Step 2: Convert to fraction form
   177.31/233.31 = 233.31/x
3. Step 3: Cross multiply
   177.31x = 233.31 × 233.31
4. Step 4: Simplify right side
   177.31x = 54,434.72
5. Step 5: Solve for x
   x = 54,434.72/177.31
6. Step 6: Final answer
   x = 307.00