Finding the Third Proportional to 385.88 and 433.69

Step by Step Solution

1. Step 1: Write the proportion equation
   385.88 : 433.69 = 433.69 : x
2. Step 2: Convert to fraction form
   385.88/433.69 = 433.69/x
3. Step 3: Cross multiply
   385.88x = 433.69 × 433.69
4. Step 4: Simplify right side
   385.88x = 188,084.85
5. Step 5: Solve for x
   x = 188,084.85/385.88
6. Step 6: Final answer
   x = 487.42