Finding the Third Proportional to 185.63 and 433.69

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 433.69 = 433.69 : x
2. Step 2: Convert to fraction form
   185.63/433.69 = 433.69/x
3. Step 3: Cross multiply
   185.63x = 433.69 × 433.69
4. Step 4: Simplify right side
   185.63x = 188,084.85
5. Step 5: Solve for x
   x = 188,084.85/185.63
6. Step 6: Final answer
   x = 1,013.25