Finding the Third Proportional to 165.94 and 314.16

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 314.16 = 314.16 : x
2. Step 2: Convert to fraction form
   165.94/314.16 = 314.16/x
3. Step 3: Cross multiply
   165.94x = 314.16 × 314.16
4. Step 4: Simplify right side
   165.94x = 98,694.15
5. Step 5: Solve for x
   x = 98,694.15/165.94
6. Step 6: Final answer
   x = 594.77