Finding the Third Proportional to 463.50 and 669.38

Step by Step Solution

1. Step 1: Write the proportion equation
   463.50 : 669.38 = 669.38 : x
2. Step 2: Convert to fraction form
   463.50/669.38 = 669.38/x
3. Step 3: Cross multiply
   463.50x = 669.38 × 669.38
4. Step 4: Simplify right side
   463.50x = 448,062.89
5. Step 5: Solve for x
   x = 448,062.89/463.50
6. Step 6: Final answer
   x = 966.69