Finding the Third Proportional to 266.50 and 425.38

Step by Step Solution

1. Step 1: Write the proportion equation
   266.50 : 425.38 = 425.38 : x
2. Step 2: Convert to fraction form
   266.50/425.38 = 425.38/x
3. Step 3: Cross multiply
   266.50x = 425.38 × 425.38
4. Step 4: Simplify right side
   266.50x = 180,943.89
5. Step 5: Solve for x
   x = 180,943.89/266.50
6. Step 6: Final answer
   x = 678.96