Finding the Third Proportional to 164.94 and 360.38

Step by Step Solution

1. Step 1: Write the proportion equation
   164.94 : 360.38 = 360.38 : x
2. Step 2: Convert to fraction form
   164.94/360.38 = 360.38/x
3. Step 3: Cross multiply
   164.94x = 360.38 × 360.38
4. Step 4: Simplify right side
   164.94x = 129,870.14
5. Step 5: Solve for x
   x = 129,870.14/164.94
6. Step 6: Final answer
   x = 787.39