Finding the Third Proportional to 421.31 and 918.56

Step by Step Solution

1. Step 1: Write the proportion equation
   421.31 : 918.56 = 918.56 : x
2. Step 2: Convert to fraction form
   421.31/918.56 = 918.56/x
3. Step 3: Cross multiply
   421.31x = 918.56 × 918.56
4. Step 4: Simplify right side
   421.31x = 843,757.07
5. Step 5: Solve for x
   x = 843,757.07/421.31
6. Step 6: Final answer
   x = 2,002.69