Finding the Third Proportional to 101.53 and 109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   101.53 : 109.78 = 109.78 : x
2. Step 2: Convert to fraction form
   101.53/109.78 = 109.78/x
3. Step 3: Cross multiply
   101.53x = 109.78 × 109.78
4. Step 4: Simplify right side
   101.53x = 12,051.92
5. Step 5: Solve for x
   x = 12,051.92/101.53
6. Step 6: Final answer
   x = 118.70