Finding the Third Proportional to 319.78 and 476.72

Step by Step Solution

1. Step 1: Write the proportion equation
   319.78 : 476.72 = 476.72 : x
2. Step 2: Convert to fraction form
   319.78/476.72 = 476.72/x
3. Step 3: Cross multiply
   319.78x = 476.72 × 476.72
4. Step 4: Simplify right side
   319.78x = 227,260.77
5. Step 5: Solve for x
   x = 227,260.77/319.78
6. Step 6: Final answer
   x = 710.68