Finding the Third Proportional to 429.89 and 523.55

Step by Step Solution

1. Step 1: Write the proportion equation
   429.89 : 523.55 = 523.55 : x
2. Step 2: Convert to fraction form
   429.89/523.55 = 523.55/x
3. Step 3: Cross multiply
   429.89x = 523.55 × 523.55
4. Step 4: Simplify right side
   429.89x = 274,101.33
5. Step 5: Solve for x
   x = 274,101.33/429.89
6. Step 6: Final answer
   x = 637.61