Finding the Third Proportional to 301.85 and 592.31

Step by Step Solution

1. Step 1: Write the proportion equation
   301.85 : 592.31 = 592.31 : x
2. Step 2: Convert to fraction form
   301.85/592.31 = 592.31/x
3. Step 3: Cross multiply
   301.85x = 592.31 × 592.31
4. Step 4: Simplify right side
   301.85x = 350,834.10
5. Step 5: Solve for x
   x = 350,834.10/301.85
6. Step 6: Final answer
   x = 1,162.27