Finding the Third Proportional to 634.50 and 913.78

Step by Step Solution

1. Step 1: Write the proportion equation
   634.50 : 913.78 = 913.78 : x
2. Step 2: Convert to fraction form
   634.50/913.78 = 913.78/x
3. Step 3: Cross multiply
   634.50x = 913.78 × 913.78
4. Step 4: Simplify right side
   634.50x = 834,996.17
5. Step 5: Solve for x
   x = 834,996.17/634.50
6. Step 6: Final answer
   x = 1,315.99