Finding the Third Proportional to 383.63 and 799.69

Step by Step Solution

1. Step 1: Write the proportion equation
   383.63 : 799.69 = 799.69 : x
2. Step 2: Convert to fraction form
   383.63/799.69 = 799.69/x
3. Step 3: Cross multiply
   383.63x = 799.69 × 799.69
4. Step 4: Simplify right side
   383.63x = 639,500.10
5. Step 5: Solve for x
   x = 639,500.10/383.63
6. Step 6: Final answer
   x = 1,666.99