Finding the Third Proportional to 186.56 and 200.06

Step by Step Solution

1. Step 1: Write the proportion equation
   186.56 : 200.06 = 200.06 : x
2. Step 2: Convert to fraction form
   186.56/200.06 = 200.06/x
3. Step 3: Cross multiply
   186.56x = 200.06 × 200.06
4. Step 4: Simplify right side
   186.56x = 40,025.00
5. Step 5: Solve for x
   x = 40,025.00/186.56
6. Step 6: Final answer
   x = 214.54