Finding the Third Proportional to 380.34 and 823.33

Step by Step Solution

1. Step 1: Write the proportion equation
   380.34 : 823.33 = 823.33 : x
2. Step 2: Convert to fraction form
   380.34/823.33 = 823.33/x
3. Step 3: Cross multiply
   380.34x = 823.33 × 823.33
4. Step 4: Simplify right side
   380.34x = 677,870.01
5. Step 5: Solve for x
   x = 677,870.01/380.34
6. Step 6: Final answer
   x = 1,782.27