Finding the Third Proportional to 116.19 and 277.72

Step by Step Solution

1. Step 1: Write the proportion equation
   116.19 : 277.72 = 277.72 : x
2. Step 2: Convert to fraction form
   116.19/277.72 = 277.72/x
3. Step 3: Cross multiply
   116.19x = 277.72 × 277.72
4. Step 4: Simplify right side
   116.19x = 77,127.70
5. Step 5: Solve for x
   x = 77,127.70/116.19
6. Step 6: Final answer
   x = 663.82