Finding the Third Proportional to 131.88 and 277.69

Step by Step Solution

1. Step 1: Write the proportion equation
   131.88 : 277.69 = 277.69 : x
2. Step 2: Convert to fraction form
   131.88/277.69 = 277.69/x
3. Step 3: Cross multiply
   131.88x = 277.69 × 277.69
4. Step 4: Simplify right side
   131.88x = 77,110.35
5. Step 5: Solve for x
   x = 77,110.35/131.88
6. Step 6: Final answer
   x = 584.72