Finding the Third Proportional to 83.16 and 175.34

Step by Step Solution

1. Step 1: Write the proportion equation
   83.16 : 175.34 = 175.34 : x
2. Step 2: Convert to fraction form
   83.16/175.34 = 175.34/x
3. Step 3: Cross multiply
   83.16x = 175.34 × 175.34
4. Step 4: Simplify right side
   83.16x = 30,742.69
5. Step 5: Solve for x
   x = 30,742.69/83.16
6. Step 6: Final answer
   x = 369.70