Finding the Third Proportional to 156.71 and 339.05

Step by Step Solution

1. Step 1: Write the proportion equation
   156.71 : 339.05 = 339.05 : x
2. Step 2: Convert to fraction form
   156.71/339.05 = 339.05/x
3. Step 3: Cross multiply
   156.71x = 339.05 × 339.05
4. Step 4: Simplify right side
   156.71x = 114,954.27
5. Step 5: Solve for x
   x = 114,954.27/156.71
6. Step 6: Final answer
   x = 733.55