Finding the Third Proportional to 179.38 and 310.69

Step by Step Solution

1. Step 1: Write the proportion equation
   179.38 : 310.69 = 310.69 : x
2. Step 2: Convert to fraction form
   179.38/310.69 = 310.69/x
3. Step 3: Cross multiply
   179.38x = 310.69 × 310.69
4. Step 4: Simplify right side
   179.38x = 96,526.72
5. Step 5: Solve for x
   x = 96,526.72/179.38
6. Step 6: Final answer
   x = 538.13