Finding the Third Proportional to 77.84 and 113.59

Step by Step Solution

1. Step 1: Write the proportion equation
   77.84 : 113.59 = 113.59 : x
2. Step 2: Convert to fraction form
   77.84/113.59 = 113.59/x
3. Step 3: Cross multiply
   77.84x = 113.59 × 113.59
4. Step 4: Simplify right side
   77.84x = 12,902.65
5. Step 5: Solve for x
   x = 12,902.65/77.84
6. Step 6: Final answer
   x = 165.77