Finding the Third Proportional to 192.75 and 419.72

Step by Step Solution

1. Step 1: Write the proportion equation
   192.75 : 419.72 = 419.72 : x
2. Step 2: Convert to fraction form
   192.75/419.72 = 419.72/x
3. Step 3: Cross multiply
   192.75x = 419.72 × 419.72
4. Step 4: Simplify right side
   192.75x = 176,163.83
5. Step 5: Solve for x
   x = 176,163.83/192.75
6. Step 6: Final answer
   x = 913.95