Finding the Third Proportional to 75.56 and 160.31

Step by Step Solution

1. Step 1: Write the proportion equation
   75.56 : 160.31 = 160.31 : x
2. Step 2: Convert to fraction form
   75.56/160.31 = 160.31/x
3. Step 3: Cross multiply
   75.56x = 160.31 × 160.31
4. Step 4: Simplify right side
   75.56x = 25,700.10
5. Step 5: Solve for x
   x = 25,700.10/75.56
6. Step 6: Final answer
   x = 340.12