Finding the Third Proportional to 153.56 and 343.31

Step by Step Solution

1. Step 1: Write the proportion equation
   153.56 : 343.31 = 343.31 : x
2. Step 2: Convert to fraction form
   153.56/343.31 = 343.31/x
3. Step 3: Cross multiply
   153.56x = 343.31 × 343.31
4. Step 4: Simplify right side
   153.56x = 117,863.47
5. Step 5: Solve for x
   x = 117,863.47/153.56
6. Step 6: Final answer
   x = 767.53