Finding the Third Proportional to 103.50 and 153.88

Step by Step Solution

1. Step 1: Write the proportion equation
   103.50 : 153.88 = 153.88 : x
2. Step 2: Convert to fraction form
   103.50/153.88 = 153.88/x
3. Step 3: Cross multiply
   103.50x = 153.88 × 153.88
4. Step 4: Simplify right side
   103.50x = 23,677.52
5. Step 5: Solve for x
   x = 23,677.52/103.50
6. Step 6: Final answer
   x = 228.77