Finding the Third Proportional to 78.94 and 117.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.94 : 117.75 = 117.75 : x
2. Step 2: Convert to fraction form
   78.94/117.75 = 117.75/x
3. Step 3: Cross multiply
   78.94x = 117.75 × 117.75
4. Step 4: Simplify right side
   78.94x = 13,865.06
5. Step 5: Solve for x
   x = 13,865.06/78.94
6. Step 6: Final answer
   x = 175.65