Finding the Third Proportional to 78.87 and 119.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.87 : 119.72 = 119.72 : x
2. Step 2: Convert to fraction form
   78.87/119.72 = 119.72/x
3. Step 3: Cross multiply
   78.87x = 119.72 × 119.72
4. Step 4: Simplify right side
   78.87x = 14,333.98
5. Step 5: Solve for x
   x = 14,333.98/78.87
6. Step 6: Final answer
   x = 181.75