Finding the Third Proportional to 156.94 and 337.78

Step by Step Solution

1. Step 1: Write the proportion equation
   156.94 : 337.78 = 337.78 : x
2. Step 2: Convert to fraction form
   156.94/337.78 = 337.78/x
3. Step 3: Cross multiply
   156.94x = 337.78 × 337.78
4. Step 4: Simplify right side
   156.94x = 114,096.17
5. Step 5: Solve for x
   x = 114,096.17/156.94
6. Step 6: Final answer
   x = 727.02