Finding the Third Proportional to 429.50 and 460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   429.50 : 460.25 = 460.25 : x
2. Step 2: Convert to fraction form
   429.50/460.25 = 460.25/x
3. Step 3: Cross multiply
   429.50x = 460.25 × 460.25
4. Step 4: Simplify right side
   429.50x = 211,830.06
5. Step 5: Solve for x
   x = 211,830.06/429.50
6. Step 6: Final answer
   x = 493.20