Finding the Third Proportional to 518.50 and 623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   518.50 : 623.50 = 623.50 : x
2. Step 2: Convert to fraction form
   518.50/623.50 = 623.50/x
3. Step 3: Cross multiply
   518.50x = 623.50 × 623.50
4. Step 4: Simplify right side
   518.50x = 388,752.25
5. Step 5: Solve for x
   x = 388,752.25/518.50
6. Step 6: Final answer
   x = 749.76