Finding the Third Proportional to 294 and 632.31

Step by Step Solution

1. Step 1: Write the proportion equation
   294 : 632.31 = 632.31 : x
2. Step 2: Convert to fraction form
   294/632.31 = 632.31/x
3. Step 3: Cross multiply
   294x = 632.31 × 632.31
4. Step 4: Simplify right side
   294x = 399,819.10
5. Step 5: Solve for x
   x = 399,819.10/294
6. Step 6: Final answer
   x = 1,359.93