Finding the Third Proportional to 179.72 and 412.78

Step by Step Solution

1. Step 1: Write the proportion equation
   179.72 : 412.78 = 412.78 : x
2. Step 2: Convert to fraction form
   179.72/412.78 = 412.78/x
3. Step 3: Cross multiply
   179.72x = 412.78 × 412.78
4. Step 4: Simplify right side
   179.72x = 170,388.36
5. Step 5: Solve for x
   x = 170,388.36/179.72
6. Step 6: Final answer
   x = 948.08