Finding the Third Proportional to 72.34 and 156.24

Step by Step Solution

1. Step 1: Write the proportion equation
   72.34 : 156.24 = 156.24 : x
2. Step 2: Convert to fraction form
   72.34/156.24 = 156.24/x
3. Step 3: Cross multiply
   72.34x = 156.24 × 156.24
4. Step 4: Simplify right side
   72.34x = 24,411.84
5. Step 5: Solve for x
   x = 24,411.84/72.34
6. Step 6: Final answer
   x = 337.47