Finding the Third Proportional to 131.77 and 277.56

Step by Step Solution

1. Step 1: Write the proportion equation
   131.77 : 277.56 = 277.56 : x
2. Step 2: Convert to fraction form
   131.77/277.56 = 277.56/x
3. Step 3: Cross multiply
   131.77x = 277.56 × 277.56
4. Step 4: Simplify right side
   131.77x = 77,038.77
5. Step 5: Solve for x
   x = 77,038.77/131.77
6. Step 6: Final answer
   x = 584.67