Finding the Third Proportional to 118.50 and 274.88

Step by Step Solution

1. Step 1: Write the proportion equation
   118.50 : 274.88 = 274.88 : x
2. Step 2: Convert to fraction form
   118.50/274.88 = 274.88/x
3. Step 3: Cross multiply
   118.50x = 274.88 × 274.88
4. Step 4: Simplify right side
   118.50x = 75,556.27
5. Step 5: Solve for x
   x = 75,556.27/118.50
6. Step 6: Final answer
   x = 637.61