Finding the Third Proportional to 463.50 and 903.38

Step by Step Solution

1. Step 1: Write the proportion equation
   463.50 : 903.38 = 903.38 : x
2. Step 2: Convert to fraction form
   463.50/903.38 = 903.38/x
3. Step 3: Cross multiply
   463.50x = 903.38 × 903.38
4. Step 4: Simplify right side
   463.50x = 816,086.39
5. Step 5: Solve for x
   x = 816,086.39/463.50
6. Step 6: Final answer
   x = 1,760.70