Finding the Third Proportional to 623 and 1,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   623 : 1,364.50 = 1,364.50 : x
2. Step 2: Convert to fraction form
   623/1,364.50 = 1,364.50/x
3. Step 3: Cross multiply
   623x = 1,364.50 × 1,364.50
4. Step 4: Simplify right side
   623x = 1,861,860.25
5. Step 5: Solve for x
   x = 1,861,860.25/623
6. Step 6: Final answer
   x = 2,988.54