Finding the Third Proportional to 101.45 and 156.71

Step by Step Solution

1. Step 1: Write the proportion equation
   101.45 : 156.71 = 156.71 : x
2. Step 2: Convert to fraction form
   101.45/156.71 = 156.71/x
3. Step 3: Cross multiply
   101.45x = 156.71 × 156.71
4. Step 4: Simplify right side
   101.45x = 24,558.05
5. Step 5: Solve for x
   x = 24,558.05/101.45
6. Step 6: Final answer
   x = 242.08