Finding the Third Proportional to 172.13 and 382.69

Step by Step Solution

1. Step 1: Write the proportion equation
   172.13 : 382.69 = 382.69 : x
2. Step 2: Convert to fraction form
   172.13/382.69 = 382.69/x
3. Step 3: Cross multiply
   172.13x = 382.69 × 382.69
4. Step 4: Simplify right side
   172.13x = 146,449.72
5. Step 5: Solve for x
   x = 146,449.72/172.13
6. Step 6: Final answer
   x = 850.83