Finding the Third Proportional to 380.16 and 589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   380.16 : 589.46 = 589.46 : x
2. Step 2: Convert to fraction form
   380.16/589.46 = 589.46/x
3. Step 3: Cross multiply
   380.16x = 589.46 × 589.46
4. Step 4: Simplify right side
   380.16x = 347,468.80
5. Step 5: Solve for x
   x = 347,468.80/380.16
6. Step 6: Final answer
   x = 914.00