Finding the Third Proportional to 83.25 and 167.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83.25 : 167.88 = 167.88 : x
2. Step 2: Convert to fraction form
   83.25/167.88 = 167.88/x
3. Step 3: Cross multiply
   83.25x = 167.88 × 167.88
4. Step 4: Simplify right side
   83.25x = 28,182.02
5. Step 5: Solve for x
   x = 28,182.02/83.25
6. Step 6: Final answer
   x = 338.52