Finding the Third Proportional to 199.50 and 334.69

Step by Step Solution

1. Step 1: Write the proportion equation
   199.50 : 334.69 = 334.69 : x
2. Step 2: Convert to fraction form
   199.50/334.69 = 334.69/x
3. Step 3: Cross multiply
   199.50x = 334.69 × 334.69
4. Step 4: Simplify right side
   199.50x = 112,015.72
5. Step 5: Solve for x
   x = 112,015.72/199.50
6. Step 6: Final answer
   x = 561.48