Finding the Third Proportional to 101.57 and 142.07

Step by Step Solution

1. Step 1: Write the proportion equation
   101.57 : 142.07 = 142.07 : x
2. Step 2: Convert to fraction form
   101.57/142.07 = 142.07/x
3. Step 3: Cross multiply
   101.57x = 142.07 × 142.07
4. Step 4: Simplify right side
   101.57x = 20,182.86
5. Step 5: Solve for x
   x = 20,182.86/101.57
6. Step 6: Final answer
   x = 198.72