Finding the Third Proportional to 301.88 and 646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301.88 : 646.50 = 646.50 : x
2. Step 2: Convert to fraction form
   301.88/646.50 = 646.50/x
3. Step 3: Cross multiply
   301.88x = 646.50 × 646.50
4. Step 4: Simplify right side
   301.88x = 417,962.25
5. Step 5: Solve for x
   x = 417,962.25/301.88
6. Step 6: Final answer
   x = 1,384.55