Finding the Third Proportional to 199.50 and 266.06

Step by Step Solution

1. Step 1: Write the proportion equation
   199.50 : 266.06 = 266.06 : x
2. Step 2: Convert to fraction form
   199.50/266.06 = 266.06/x
3. Step 3: Cross multiply
   199.50x = 266.06 × 266.06
4. Step 4: Simplify right side
   199.50x = 70,789.25
5. Step 5: Solve for x
   x = 70,789.25/199.50
6. Step 6: Final answer
   x = 354.83