Finding the Third Proportional to 189.56 and 406.56

Step by Step Solution

1. Step 1: Write the proportion equation
   189.56 : 406.56 = 406.56 : x
2. Step 2: Convert to fraction form
   189.56/406.56 = 406.56/x
3. Step 3: Cross multiply
   189.56x = 406.56 × 406.56
4. Step 4: Simplify right side
   189.56x = 165,293.07
5. Step 5: Solve for x
   x = 165,293.07/189.56
6. Step 6: Final answer
   x = 871.97