Finding the Third Proportional to 117.75 and 300.88

Step by Step Solution

1. Step 1: Write the proportion equation
   117.75 : 300.88 = 300.88 : x
2. Step 2: Convert to fraction form
   117.75/300.88 = 300.88/x
3. Step 3: Cross multiply
   117.75x = 300.88 × 300.88
4. Step 4: Simplify right side
   117.75x = 90,525.77
5. Step 5: Solve for x
   x = 90,525.77/117.75
6. Step 6: Final answer
   x = 768.80