Finding the Third Proportional to 296.45 and 476.31

Step by Step Solution

1. Step 1: Write the proportion equation
   296.45 : 476.31 = 476.31 : x
2. Step 2: Convert to fraction form
   296.45/476.31 = 476.31/x
3. Step 3: Cross multiply
   296.45x = 476.31 × 476.31
4. Step 4: Simplify right side
   296.45x = 226,875.46
5. Step 5: Solve for x
   x = 226,875.46/296.45
6. Step 6: Final answer
   x = 765.31