Finding the Third Proportional to 594.50 and 949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   594.50 : 949.50 = 949.50 : x
2. Step 2: Convert to fraction form
   594.50/949.50 = 949.50/x
3. Step 3: Cross multiply
   594.50x = 949.50 × 949.50
4. Step 4: Simplify right side
   594.50x = 901,550.25
5. Step 5: Solve for x
   x = 901,550.25/594.50
6. Step 6: Final answer
   x = 1,516.48