Finding the Third Proportional to 49.78 and 101.53

Step by Step Solution

1. Step 1: Write the proportion equation
   49.78 : 101.53 = 101.53 : x
2. Step 2: Convert to fraction form
   49.78/101.53 = 101.53/x
3. Step 3: Cross multiply
   49.78x = 101.53 × 101.53
4. Step 4: Simplify right side
   49.78x = 10,308.59
5. Step 5: Solve for x
   x = 10,308.59/49.78
6. Step 6: Final answer
   x = 207.08