Finding the Third Proportional to 414.50 and 468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414.50 : 468.50 = 468.50 : x
2. Step 2: Convert to fraction form
   414.50/468.50 = 468.50/x
3. Step 3: Cross multiply
   414.50x = 468.50 × 468.50
4. Step 4: Simplify right side
   414.50x = 219,492.25
5. Step 5: Solve for x
   x = 219,492.25/414.50
6. Step 6: Final answer
   x = 529.53