Finding the Third Proportional to 78.50 and 120.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 120.75 = 120.75 : x
2. Step 2: Convert to fraction form
   78.50/120.75 = 120.75/x
3. Step 3: Cross multiply
   78.50x = 120.75 × 120.75
4. Step 4: Simplify right side
   78.50x = 14,580.56
5. Step 5: Solve for x
   x = 14,580.56/78.50
6. Step 6: Final answer
   x = 185.74