Finding the Third Proportional to 173.00 and 380.16

Step by Step Solution

1. Step 1: Write the proportion equation
   173.00 : 380.16 = 380.16 : x
2. Step 2: Convert to fraction form
   173.00/380.16 = 380.16/x
3. Step 3: Cross multiply
   173.00x = 380.16 × 380.16
4. Step 4: Simplify right side
   173.00x = 144,523.23
5. Step 5: Solve for x
   x = 144,523.23/173.00
6. Step 6: Final answer
   x = 835.42