Finding the Third Proportional to 199.69 and 384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   199.69 : 384.75 = 384.75 : x
2. Step 2: Convert to fraction form
   199.69/384.75 = 384.75/x
3. Step 3: Cross multiply
   199.69x = 384.75 × 384.75
4. Step 4: Simplify right side
   199.69x = 148,032.56
5. Step 5: Solve for x
   x = 148,032.56/199.69
6. Step 6: Final answer
   x = 741.32