Finding the Third Proportional to 137.22 and 278.71

Step by Step Solution

1. Step 1: Write the proportion equation
   137.22 : 278.71 = 278.71 : x
2. Step 2: Convert to fraction form
   137.22/278.71 = 278.71/x
3. Step 3: Cross multiply
   137.22x = 278.71 × 278.71
4. Step 4: Simplify right side
   137.22x = 77,681.69
5. Step 5: Solve for x
   x = 77,681.69/137.22
6. Step 6: Final answer
   x = 566.10