Finding the Third Proportional to 78.75 and 127.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 127.88 = 127.88 : x
2. Step 2: Convert to fraction form
   78.75/127.88 = 127.88/x
3. Step 3: Cross multiply
   78.75x = 127.88 × 127.88
4. Step 4: Simplify right side
   78.75x = 16,352.02
5. Step 5: Solve for x
   x = 16,352.02/78.75
6. Step 6: Final answer
   x = 207.64