Finding the Third Proportional to 137.95 and 279.56

Step by Step Solution

1. Step 1: Write the proportion equation
   137.95 : 279.56 = 279.56 : x
2. Step 2: Convert to fraction form
   137.95/279.56 = 279.56/x
3. Step 3: Cross multiply
   137.95x = 279.56 × 279.56
4. Step 4: Simplify right side
   137.95x = 78,155.19
5. Step 5: Solve for x
   x = 78,155.19/137.95
6. Step 6: Final answer
   x = 566.53