Finding the Third Proportional to 156.38 and 242.02

Step by Step Solution

1. Step 1: Write the proportion equation
   156.38 : 242.02 = 242.02 : x
2. Step 2: Convert to fraction form
   156.38/242.02 = 242.02/x
3. Step 3: Cross multiply
   156.38x = 242.02 × 242.02
4. Step 4: Simplify right side
   156.38x = 58,571.56
5. Step 5: Solve for x
   x = 58,571.56/156.38
6. Step 6: Final answer
   x = 374.56