Finding the Third Proportional to 459.50 and 624.38

Step by Step Solution

1. Step 1: Write the proportion equation
   459.50 : 624.38 = 624.38 : x
2. Step 2: Convert to fraction form
   459.50/624.38 = 624.38/x
3. Step 3: Cross multiply
   459.50x = 624.38 × 624.38
4. Step 4: Simplify right side
   459.50x = 389,844.14
5. Step 5: Solve for x
   x = 389,844.14/459.50
6. Step 6: Final answer
   x = 848.41