Finding the Third Proportional to 211.31 and 456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   211.31 : 456.38 = 456.38 : x
2. Step 2: Convert to fraction form
   211.31/456.38 = 456.38/x
3. Step 3: Cross multiply
   211.31x = 456.38 × 456.38
4. Step 4: Simplify right side
   211.31x = 208,278.14
5. Step 5: Solve for x
   x = 208,278.14/211.31
6. Step 6: Final answer
   x = 985.64