Finding the Third Proportional to 83.13 and 175.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83.13 : 175.69 = 175.69 : x
2. Step 2: Convert to fraction form
   83.13/175.69 = 175.69/x
3. Step 3: Cross multiply
   83.13x = 175.69 × 175.69
4. Step 4: Simplify right side
   83.13x = 30,866.10
5. Step 5: Solve for x
   x = 30,866.10/83.13
6. Step 6: Final answer
   x = 371.32