Finding the Third Proportional to 389.25 and 463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389.25 : 463.50 = 463.50 : x
2. Step 2: Convert to fraction form
   389.25/463.50 = 463.50/x
3. Step 3: Cross multiply
   389.25x = 463.50 × 463.50
4. Step 4: Simplify right side
   389.25x = 214,832.25
5. Step 5: Solve for x
   x = 214,832.25/389.25
6. Step 6: Final answer
   x = 551.91