Finding the Third Proportional to 189.42 and 397.83

Step by Step Solution

1. Step 1: Write the proportion equation
   189.42 : 397.83 = 397.83 : x
2. Step 2: Convert to fraction form
   189.42/397.83 = 397.83/x
3. Step 3: Cross multiply
   189.42x = 397.83 × 397.83
4. Step 4: Simplify right side
   189.42x = 158,267.22
5. Step 5: Solve for x
   x = 158,267.22/189.42
6. Step 6: Final answer
   x = 835.53