Finding the Third Proportional to 72.75 and 156.06

Step by Step Solution

1. Step 1: Write the proportion equation
   72.75 : 156.06 = 156.06 : x
2. Step 2: Convert to fraction form
   72.75/156.06 = 156.06/x
3. Step 3: Cross multiply
   72.75x = 156.06 × 156.06
4. Step 4: Simplify right side
   72.75x = 24,355.50
5. Step 5: Solve for x
   x = 24,355.50/72.75
6. Step 6: Final answer
   x = 334.78