Finding the Third Proportional to 72.30 and 150.13

Step by Step Solution

1. Step 1: Write the proportion equation
   72.30 : 150.13 = 150.13 : x
2. Step 2: Convert to fraction form
   72.30/150.13 = 150.13/x
3. Step 3: Cross multiply
   72.30x = 150.13 × 150.13
4. Step 4: Simplify right side
   72.30x = 22,540.45
5. Step 5: Solve for x
   x = 22,540.45/72.30
6. Step 6: Final answer
   x = 311.77