Finding the Third Proportional to 165.94 and 250.31

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 250.31 = 250.31 : x
2. Step 2: Convert to fraction form
   165.94/250.31 = 250.31/x
3. Step 3: Cross multiply
   165.94x = 250.31 × 250.31
4. Step 4: Simplify right side
   165.94x = 62,656.35
5. Step 5: Solve for x
   x = 62,656.35/165.94
6. Step 6: Final answer
   x = 377.59