Finding the Third Proportional to 380.25 and 839.81

Step by Step Solution

1. Step 1: Write the proportion equation
   380.25 : 839.81 = 839.81 : x
2. Step 2: Convert to fraction form
   380.25/839.81 = 839.81/x
3. Step 3: Cross multiply
   380.25x = 839.81 × 839.81
4. Step 4: Simplify right side
   380.25x = 705,285.04
5. Step 5: Solve for x
   x = 705,285.04/380.25
6. Step 6: Final answer
   x = 1,854.79