Finding the Third Proportional to 149.25 and 200.06

Step by Step Solution

1. Step 1: Write the proportion equation
   149.25 : 200.06 = 200.06 : x
2. Step 2: Convert to fraction form
   149.25/200.06 = 200.06/x
3. Step 3: Cross multiply
   149.25x = 200.06 × 200.06
4. Step 4: Simplify right side
   149.25x = 40,025.00
5. Step 5: Solve for x
   x = 40,025.00/149.25
6. Step 6: Final answer
   x = 268.17