Finding the Third Proportional to 165.84 and 253.78

Step by Step Solution

1. Step 1: Write the proportion equation
   165.84 : 253.78 = 253.78 : x
2. Step 2: Convert to fraction form
   165.84/253.78 = 253.78/x
3. Step 3: Cross multiply
   165.84x = 253.78 × 253.78
4. Step 4: Simplify right side
   165.84x = 64,404.92
5. Step 5: Solve for x
   x = 64,404.92/165.84
6. Step 6: Final answer
   x = 388.35