Finding the Third Proportional to 165.94 and 384.47

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 384.47 = 384.47 : x
2. Step 2: Convert to fraction form
   165.94/384.47 = 384.47/x
3. Step 3: Cross multiply
   165.94x = 384.47 × 384.47
4. Step 4: Simplify right side
   165.94x = 147,816.22
5. Step 5: Solve for x
   x = 147,816.22/165.94
6. Step 6: Final answer
   x = 890.79