Finding the Third Proportional to 478.72 and 732.01

Step by Step Solution

1. Step 1: Write the proportion equation
   478.72 : 732.01 = 732.01 : x
2. Step 2: Convert to fraction form
   478.72/732.01 = 732.01/x
3. Step 3: Cross multiply
   478.72x = 732.01 × 732.01
4. Step 4: Simplify right side
   478.72x = 535,832.58
5. Step 5: Solve for x
   x = 535,832.58/478.72
6. Step 6: Final answer
   x = 1,119.30