Finding the Third Proportional to 363.50 and 460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363.50 : 460.50 = 460.50 : x
2. Step 2: Convert to fraction form
   363.50/460.50 = 460.50/x
3. Step 3: Cross multiply
   363.50x = 460.50 × 460.50
4. Step 4: Simplify right side
   363.50x = 212,060.25
5. Step 5: Solve for x
   x = 212,060.25/363.50
6. Step 6: Final answer
   x = 583.38