Finding the Third Proportional to 181.94 and 375.69

Step by Step Solution

1. Step 1: Write the proportion equation
   181.94 : 375.69 = 375.69 : x
2. Step 2: Convert to fraction form
   181.94/375.69 = 375.69/x
3. Step 3: Cross multiply
   181.94x = 375.69 × 375.69
4. Step 4: Simplify right side
   181.94x = 141,141.10
5. Step 5: Solve for x
   x = 141,141.10/181.94
6. Step 6: Final answer
   x = 775.77