Finding the Third Proportional to 78.50 and 187.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 187.75 = 187.75 : x
2. Step 2: Convert to fraction form
   78.50/187.75 = 187.75/x
3. Step 3: Cross multiply
   78.50x = 187.75 × 187.75
4. Step 4: Simplify right side
   78.50x = 35,250.06
5. Step 5: Solve for x
   x = 35,250.06/78.50
6. Step 6: Final answer
   x = 449.05