Finding the Third Proportional to 173.13 and 380.56

Step by Step Solution

1. Step 1: Write the proportion equation
   173.13 : 380.56 = 380.56 : x
2. Step 2: Convert to fraction form
   173.13/380.56 = 380.56/x
3. Step 3: Cross multiply
   173.13x = 380.56 × 380.56
4. Step 4: Simplify right side
   173.13x = 144,827.82
5. Step 5: Solve for x
   x = 144,827.82/173.13
6. Step 6: Final answer
   x = 836.55