Finding the Third Proportional to 300.80 and 729.42

Step by Step Solution

1. Step 1: Write the proportion equation
   300.80 : 729.42 = 729.42 : x
2. Step 2: Convert to fraction form
   300.80/729.42 = 729.42/x
3. Step 3: Cross multiply
   300.80x = 729.42 × 729.42
4. Step 4: Simplify right side
   300.80x = 532,056.27
5. Step 5: Solve for x
   x = 532,056.27/300.80
6. Step 6: Final answer
   x = 1,768.82