Finding the Third Proportional to 181.69 and 386.72

Step by Step Solution

1. Step 1: Write the proportion equation
   181.69 : 386.72 = 386.72 : x
2. Step 2: Convert to fraction form
   181.69/386.72 = 386.72/x
3. Step 3: Cross multiply
   181.69x = 386.72 × 386.72
4. Step 4: Simplify right side
   181.69x = 149,551.39
5. Step 5: Solve for x
   x = 149,551.39/181.69
6. Step 6: Final answer
   x = 823.12