Finding the Third Proportional to 476.72 and 721.83

Step by Step Solution

1. Step 1: Write the proportion equation
   476.72 : 721.83 = 721.83 : x
2. Step 2: Convert to fraction form
   476.72/721.83 = 721.83/x
3. Step 3: Cross multiply
   476.72x = 721.83 × 721.83
4. Step 4: Simplify right side
   476.72x = 521,035.84
5. Step 5: Solve for x
   x = 521,035.84/476.72
6. Step 6: Final answer
   x = 1,092.96