Finding the Third Proportional to 301.50 and 634.78

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 634.78 = 634.78 : x
2. Step 2: Convert to fraction form
   301.50/634.78 = 634.78/x
3. Step 3: Cross multiply
   301.50x = 634.78 × 634.78
4. Step 4: Simplify right side
   301.50x = 402,947.24
5. Step 5: Solve for x
   x = 402,947.24/301.50
6. Step 6: Final answer
   x = 1,336.48