Finding the Third Proportional to 380.50 and 591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380.50 : 591.50 = 591.50 : x
2. Step 2: Convert to fraction form
   380.50/591.50 = 591.50/x
3. Step 3: Cross multiply
   380.50x = 591.50 × 591.50
4. Step 4: Simplify right side
   380.50x = 349,872.25
5. Step 5: Solve for x
   x = 349,872.25/380.50
6. Step 6: Final answer
   x = 919.51