Finding the Third Proportional to 72.49 and 150.02

Step by Step Solution

1. Step 1: Write the proportion equation
   72.49 : 150.02 = 150.02 : x
2. Step 2: Convert to fraction form
   72.49/150.02 = 150.02/x
3. Step 3: Cross multiply
   72.49x = 150.02 × 150.02
4. Step 4: Simplify right side
   72.49x = 22,507.03
5. Step 5: Solve for x
   x = 22,507.03/72.49
6. Step 6: Final answer
   x = 310.48