Finding the Third Proportional to 165.94 and 391.78

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 391.78 = 391.78 : x
2. Step 2: Convert to fraction form
   165.94/391.78 = 391.78/x
3. Step 3: Cross multiply
   165.94x = 391.78 × 391.78
4. Step 4: Simplify right side
   165.94x = 153,492.55
5. Step 5: Solve for x
   x = 153,492.55/165.94
6. Step 6: Final answer
   x = 925.00