Finding the Third Proportional to 164.94 and 237.72

Step by Step Solution

1. Step 1: Write the proportion equation
   164.94 : 237.72 = 237.72 : x
2. Step 2: Convert to fraction form
   164.94/237.72 = 237.72/x
3. Step 3: Cross multiply
   164.94x = 237.72 × 237.72
4. Step 4: Simplify right side
   164.94x = 56,510.20
5. Step 5: Solve for x
   x = 56,510.20/164.94
6. Step 6: Final answer
   x = 342.62