Finding the Third Proportional to 72.59 and 156.59

Step by Step Solution

1. Step 1: Write the proportion equation
   72.59 : 156.59 = 156.59 : x
2. Step 2: Convert to fraction form
   72.59/156.59 = 156.59/x
3. Step 3: Cross multiply
   72.59x = 156.59 × 156.59
4. Step 4: Simplify right side
   72.59x = 24,519.16
5. Step 5: Solve for x
   x = 24,519.16/72.59
6. Step 6: Final answer
   x = 337.76