Finding the Third Proportional to 72.94 and 148.59

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 148.59 = 148.59 : x
2. Step 2: Convert to fraction form
   72.94/148.59 = 148.59/x
3. Step 3: Cross multiply
   72.94x = 148.59 × 148.59
4. Step 4: Simplify right side
   72.94x = 22,080.10
5. Step 5: Solve for x
   x = 22,080.10/72.94
6. Step 6: Final answer
   x = 302.73