Finding the Third Proportional to 274.50 and 435.38

Step by Step Solution

1. Step 1: Write the proportion equation
   274.50 : 435.38 = 435.38 : x
2. Step 2: Convert to fraction form
   274.50/435.38 = 435.38/x
3. Step 3: Cross multiply
   274.50x = 435.38 × 435.38
4. Step 4: Simplify right side
   274.50x = 189,551.39
5. Step 5: Solve for x
   x = 189,551.39/274.50
6. Step 6: Final answer
   x = 690.53